6. A cube has a side of 21 cm. a) Determine the radius of a sphere that has the same surface area as the cube. b) Determine the radius of a sphere having the same volume as the cube. As - Ac Asphere = 4tr? Vsphere =tr %3D %D

6. A cube has a side of 21 cm. a) Determine the radius of a sphere that has the same surface area as the cube. b) Determine the radius of a sphere having the same volume as the cube. As - Ac Asphere = 4tr? Vsphere =tr %3D %D

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

The following problems can be solved by writing commands in the command window. 6

6. A cube has a side of 21 cm.
;OメS
a) Determine the radius of a sphere that has the same surface area as the cube.
b) Determine the radius of a sphere having the same volume as the cube.
As - Ac
As
4
Asphere = 47r?
Vsphere = -Tr
3

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