The surface area of a sphere is found using the formula where r is the radius of the sphere. The surface area of a cube that is the same height and width (2r) as the sphere is. What is the ratio of the surface area of the sphere to the surface area of the cube?

Question

Mathematics

Rhett Haley

13 February, 02:28

The surface area of a sphere is found using the formula where r is the radius of the sphere. The surface area of a cube that is the same height and width (2r) as the sphere is. What is the ratio of the surface area of the sphere to the surface area of the cube?

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Answers (1)

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Cody Houston · Answer 1

Surface areasphere=4pir^2

surface area cube=6pis^2 where s is the side

the side is 2r

SAcube=6pi (2r) ^2=6pi4r^2=24pir^2

so sphere to cube is

4pir^2:24pir^2

divide both sides by 4pir^2

1:6

the ratio is1:6