The surface area of a sphere is found using the formula sa=4pir^2 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 24pi^2 What is the ratio of the surface area of the sphere to the surface area of the cube?

Question

anonymous · Answer

Did you mistype the ratio part? Surface area to surface area will be 1 but I have a feeling that is not what you meant.

anonymous · Answer

The surface area of a sphere is found using the formula SA=4pir^2 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 24r^2  What is the ratio of the surface area of the sphere to the surface area of the cube?

anonymous · Answer

@Potatocracy

anonymous · Answer

A- pi/6
B- pi/6r^4
C- pi/20
D- pir^4/6

campbell_st · Answer

well just equate the 2 surface areas and simplify 

$$4\pi r^2 = 24r^2$$

simple as that

campbell_st · Answer

or perhaps 

$$4\pi r^2:24r^2$$

campbell_st · Answer

but it looks like you are required to write the ratios as fractions so its

$$\frac{4\pi r^2}{24r^2}$$