Question #3052f

2 Answers
Apr 20, 2017

Look at the Volume and Surface Area formulas.

Explanation:

You may do the same work beginning with V = 256.
Find r using the volume formula:
V = (4/3)pir^3
256 = 4r^3
64 = r^3
4 = r

Substitute into the Surface Area formula:
SA = 4pir^2
= 12(4)^2
= 12*16
= 192 square feet.

Apr 20, 2017

192 ft^2

Explanation:

Surface area of a sphere is 4 pi r^2 and
volume is 4/3 pi r^3

Using pi=3 the volume would be 4r^3=256.

This would give r=4 and thus surface area= 4pi r^2= 4(3)4^2=192ft^2approx