Remark
The Volume of a sphere is V = (4/3) pi r^3. From that, you need to find r.
Givens
V = 288*pi
Substitute
288 pi = (4/3) pi r^3 Divide both sides by pi
288 pi/pi = (4/3) pi r^3 / pi
288 = (4/3) r^3 Multiply by 3
288*3 = 4*r^3
864 = 4r^3 Divide by 4
864 / 4 = 4 r^3 / 4
216 = r^3
Take the cube root of both sides.
cube_root(r^3) = cube_root(216)
r = 6
Surface Area
Formula
Area = 4 pi r^2
Substitute
r = 6
Area = 4 * pi * 6^2
Area = 4*36 * pi
Area = 144 pi Answer
