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

Polo

Mathematics

30 March, 16:16

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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Alma Hogan · 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