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Google Keyword Rankings for : math problem sphere
1
https://www.hackmath.net/en/word-math-problems/sphere
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https://www.hackmath.net/en/word-math-problems/sphere
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2
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3
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4
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-volume/e/volume-of-spheres
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https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-volume/e/volume-of-spheres
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5
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6
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7
https://ibmathsresources.com/2020/09/15/sphere-packing-problem-pyramid-design/
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8
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9
https://www.cuemath.com/measurement/volume-of-sphere/
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https://www.cuemath.com/measurement/volume-of-sphere/
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10
https://brilliant.org/wiki/surface-area-sphere/
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https://brilliant.org/wiki/surface-area-sphere/
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11
https://www.quantamagazine.org/sphere-packing-solved-in-higher-dimensions-20160330/
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12
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13
https://artofproblemsolving.com/wiki/index.php/Sphere
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https://artofproblemsolving.com/wiki/index.php/Sphere
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14
https://www.onlinemathlearning.com/volume-of-a-sphere.html
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https://www.onlinemathlearning.com/volume-of-a-sphere.html
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15
https://mathworld.wolfram.com/Sphere.html
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https://mathworld.wolfram.com/Sphere.html
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16
https://flexbooks.ck12.org/cbook/ck-12-cbse-math-class-9/section/13.5/primary/lesson/surface-area-and-volume-of-a-sphere/
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17
https://thirdspacelearning.com/gcse-maths/geometry-and-measure/sphere-shape/
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https://thirdspacelearning.com/gcse-maths/geometry-and-measure/sphere-shape/
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18
https://www.cut-the-knot.org/m/Geometry/1992PutnamA6.shtml
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https://www.cut-the-knot.org/m/Geometry/1992PutnamA6.shtml
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19
https://en.wikipedia.org/wiki/Sphere_packing
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https://en.wikipedia.org/wiki/Sphere_packing
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20
https://www.onlinemath4all.com/volume-of-a-sphere-word-problems-worksheet.html
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https://www.onlinemath4all.com/volume-of-a-sphere-word-problems-worksheet.html
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21
https://www.wired.com/2016/04/mathematician-solves-centuries-old-sphere-problem-higher-dimensions/
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https://www.wired.com/2016/04/mathematician-solves-centuries-old-sphere-problem-higher-dimensions/
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22
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23
https://www.mashupmath.com/blog/volume-of-sphere-formula-explained
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https://www.mashupmath.com/blog/volume-of-sphere-formula-explained
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24
https://www.expii.com/t/equation-of-a-sphere-1321
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https://www.expii.com/t/equation-of-a-sphere-1321
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25
https://arxiv.org/abs/1603.06518
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26
https://www.themathdoctors.org/making-a-sphere-from-flat-material/
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27
https://www.maa.org/external_archive/devlin/devlin_9_98.html
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28
https://www.americanscientist.org/article/the-science-of-sticky-spheres
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29
https://thekidshouldseethis.com/post/sphere-packing-problem
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https://thekidshouldseethis.com/post/sphere-packing-problem
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30
https://www.ams.org/notices/200408/fea-pfender.pdf
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https://www.ams.org/notices/200408/fea-pfender.pdf
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31
https://ee.stanford.edu/~hellman/playground/hyperspheres/hyper01.html
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32
https://www.sciencedirect.com/science/article/pii/037704279290052Y
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https://www.sciencedirect.com/science/article/pii/037704279290052Y
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33
https://www.jstor.org/stable/26395748
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34
https://plus.maths.org/content/packing-spheres
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https://plus.maths.org/content/packing-spheres
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35
https://nzmaths.co.nz/resource/spheres
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https://nzmaths.co.nz/resource/spheres
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36
https://mathbitsnotebook.com/Geometry/3DShapes/3DSpheres.html
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https://mathbitsnotebook.com/Geometry/3DShapes/3DSpheres.html
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37
https://jakesmathlessons.com/derivatives/related-rates-sphere-volume-problem/
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38
https://www.precisionballs.com/sphere_math.php
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39
http://neilsloane.com/doc/icm.pdf
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40
https://annals.math.princeton.edu/2017/185-3/p08
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https://annals.math.princeton.edu/2017/185-3/p08
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41
https://www.basic-mathematics.com/volume-of-a-sphere.html
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https://www.basic-mathematics.com/volume-of-a-sphere.html
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42
https://www.10mathproblems.com/2020/02/volume-of-sphere.html
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https://www.10mathproblems.com/2020/02/volume-of-sphere.html
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43
https://www.omnicalculator.com/math/radius-of-sphere
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https://www.omnicalculator.com/math/radius-of-sphere
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44
https://math.stackexchange.com/questions/2308368/sphere-on-top-of-a-cone-maximum-volume
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https://math.stackexchange.com/questions/2308368/sphere-on-top-of-a-cone-maximum-volume
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45
https://math.hmc.edu/funfacts/surface-area-of-a-sphere/
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https://math.hmc.edu/funfacts/surface-area-of-a-sphere/
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46
https://www.splashlearn.com/math-vocabulary/geometry/sphere
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https://www.splashlearn.com/math-vocabulary/geometry/sphere
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47
https://virtualnerd.com/common-core/grade-8/8_G-geometry/C/9/sphere-volume-formula
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https://virtualnerd.com/common-core/grade-8/8_G-geometry/C/9/sphere-volume-formula
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48
https://hatsudy.com/sphere.html
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https://hatsudy.com/sphere.html
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49
https://www.brightstorm.com/math/geometry/volume/surface-area-of-spheres/
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https://www.brightstorm.com/math/geometry/volume/surface-area-of-spheres/
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50
https://www.leadthecompetition.in/mathematics/solutions/questions-on-spheres.html
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https://www.leadthecompetition.in/mathematics/solutions/questions-on-spheres.html
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51
https://www.pinterest.com/pin/72128031520904937/
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52
https://www.ixl.com/math/grade-8/volume-of-spheres
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https://www.ixl.com/math/grade-8/volume-of-spheres
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53
https://perswww.kuleuven.be/~u0017946/publications/Papers97/art97a-Saff-Kuijlaars-MI/Saff-Kuijlaars-MathIntel97.pdf
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https://perswww.kuleuven.be/~u0017946/publications/Papers97/art97a-Saff-Kuijlaars-MI/Saff-Kuijlaars-MathIntel97.pdf
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54
https://calcworkshop.com/volume-surface-area/sphere/
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https://calcworkshop.com/volume-surface-area/sphere/
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55
https://mikesmathpage.wordpress.com/2016/04/30/bjorn-poonens-n-dimensional-sphere-problem-with-kids/
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https://mikesmathpage.wordpress.com/2016/04/30/bjorn-poonens-n-dimensional-sphere-problem-with-kids/
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56
https://personal.math.ubc.ca/~cass/courses/m308-02b/projects/franco/index.htm
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57
https://ncatlab.org/nlab/show/sphere+packing
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58
https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/extended-stefan-problem-for-the-solidification-of-binary-alloys-in-a-sphere/26D55637A4C3CBF812C1A72F59638232
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https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/extended-stefan-problem-for-the-solidification-of-binary-alloys-in-a-sphere/26D55637A4C3CBF812C1A72F59638232
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59
https://stackoverflow.com/questions/3031875/math-for-a-geodesic-sphere
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https://stackoverflow.com/questions/3031875/math-for-a-geodesic-sphere
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60
https://science.thewire.in/the-sciences/maryna-viazovska-fields-medal-sphere-packing-e8/
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61
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62
https://www.nagwa.com/en/videos/479190516276/
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63
http://weusemath.org/?didyouknow=sphere-packing-problem
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64
https://link.springer.com/article/10.1007/s00220-021-04044-8
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65
https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society/volume-80/issue-5/Some-examples-of-sphere-bundles-over-spheres-which-are-loop/bams/1183535839.pdf
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https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society/volume-80/issue-5/Some-examples-of-sphere-bundles-over-spheres-which-are-loop/bams/1183535839.pdf
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66
https://www.studysmarter.us/explanations/math/geometry/volume-of-sphere/
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https://www.studysmarter.us/explanations/math/geometry/volume-of-sphere/
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67
https://www.sanfoundry.com/mathematics-questions-answers-surface-area-sphere/
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https://www.sanfoundry.com/mathematics-questions-answers-surface-area-sphere/
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68
https://www.mathway.com/examples/basic-math/measurement-area-and-volume/finding-the-volume-of-a-sphere
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https://www.mathway.com/examples/basic-math/measurement-area-and-volume/finding-the-volume-of-a-sphere
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69
https://mathscholar.org/2019/05/researchers-use-magic-functions-to-prove-sphere-packing-results/
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https://mathscholar.org/2019/05/researchers-use-magic-functions-to-prove-sphere-packing-results/
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70
https://www.reed.edu/physics/faculty/wheeler/documents/Miscellaneous%20Math/Sphere-Kissing%20Problem.pdf
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71
https://www.quora.com/Why-is-the-formula-for-surface-area-of-a-sphere-4-pi-r-2-and-why-is-volume-frac-4-3-pi-r-3
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72
https://ximera.osu.edu/mooculus/calculus3/workingInTwoAndThreeDimensions/digInDrawingASphere
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73
https://www.kristakingmath.com/blog/center-radius-and-equation-of-the-sphere
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https://www.kristakingmath.com/blog/center-radius-and-equation-of-the-sphere
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74
https://corbettmaths.com/wp-content/uploads/2013/02/volume-of-a-sphere-pdf.pdf
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https://corbettmaths.com/wp-content/uploads/2013/02/volume-of-a-sphere-pdf.pdf
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75
https://www.dummies.com/article/academics-the-arts/math/geometry/calculate-volume-sphere-229959/
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https://www.dummies.com/article/academics-the-arts/math/geometry/calculate-volume-sphere-229959/
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76
https://courses.lumenlearning.com/mathforliberalartscorequisite/chapter/finding-the-volume-and-surface-area-of-a-sphere/
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https://courses.lumenlearning.com/mathforliberalartscorequisite/chapter/finding-the-volume-and-surface-area-of-a-sphere/
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77
https://math-physics-problems.fandom.com/wiki/Surface_Area_of_a_Sphere
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https://math-physics-problems.fandom.com/wiki/Surface_Area_of_a_Sphere
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78
https://www.w3resource.com/python-exercises/python-basic-exercise-15.php
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79
https://www.britannica.com/science/sphere
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80
https://www.chegg.com/homework-help/questions-and-answers/problem-1-differential-geometry-2-sphere-one-define-curve-unit-2-sphere-s-c-x-0-x-x--dista-q98470784
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81
https://www.wikihow.com/Calculate-the-Volume-of-a-Sphere
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https://www.wikihow.com/Calculate-the-Volume-of-a-Sphere
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82
https://www.sciencealert.com/a-mathematician-just-solved-the-centuries-old-sphere-problem-in-higher-dimensions
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https://www.sciencealert.com/a-mathematician-just-solved-the-centuries-old-sphere-problem-in-higher-dimensions
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83
https://math.mit.edu/news/summer/RSIPapers/2012Gautam.pdf
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https://math.mit.edu/news/summer/RSIPapers/2012Gautam.pdf
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84
https://www.coursehero.com/study-guides/prealgebra/finding-the-volume-and-surface-area-of-a-sphere/
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https://www.coursehero.com/study-guides/prealgebra/finding-the-volume-and-surface-area-of-a-sphere/
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85
https://www.vedantu.com/maths/sphere-formula
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https://www.vedantu.com/maths/sphere-formula
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86
https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthly.122.04.299
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87
https://www.3blue1brown.com/lessons/sphere-area
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https://www.3blue1brown.com/lessons/sphere-area
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88
https://www.pbte.edu.pk/text%20books/dae/math_113/Chapter_19.pdf
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https://www.pbte.edu.pk/text%20books/dae/math_113/Chapter_19.pdf
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89
https://www.mathgames.com/skill/8.50-volume-and-surface-area-of-spheres
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https://www.mathgames.com/skill/8.50-volume-and-surface-area-of-spheres
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90
https://quizizz.com/admin/quiz/5e5604171a51a9001b156f93/sphere
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https://quizizz.com/admin/quiz/5e5604171a51a9001b156f93/sphere
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91
https://www.allmathtricks.com/sphere-surface-area-volume-hemisphere/
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https://www.allmathtricks.com/sphere-surface-area-volume-hemisphere/
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92
https://www.teacherspayteachers.com/Browse/Price-Range/Free/Search:volume+of+sphere+and+cones/Page:2
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93
https://www.math-salamanders.com/area-of-a-sphere-calculator.html
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https://www.math-salamanders.com/area-of-a-sphere-calculator.html
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