Question

Find the surface area of a sphere that has a volume of 288π cu in.

Answer 1

answer choices are 48 ,144 and 20,736

Answer 2

A=4*pi*r^2
A=4*36*pi
=144*pi

Answer 3

you were right zed.

Answer 4

omar was right, just a little calculator error. He did all the hard work :)

Answer 5

ok thank you both

Answer 6

volume V=(4/3)*pi*r^3 r: radius.....r=6 in surface area A=4*pi*r^2 A=144pi sq in

Thanx guys

Answer 7

Volume of a sphere is given by the formula (4/3)*pi*r^3

Surface area of a sphere is given by the formula 4*pi*r^2

We need to find r

4/3 * pi * r^3 = 288 * pi
So 4/3 * r^3 = 288
and r = cuberoot (3/4 * 288) = cuberoot (216) = 6

So the surface area of the sphere would be

4 * pi * 6^2 = 144 * pi = 452.389 cu in