Question

A sphere has a volume of V=900 in cubed. What is the surface area?

Answer 1

First, we must solve for the radius of the sphere:
V=$\frac{4}{3}$$\pi$$r^{3}$
r=(3$\frac{V}{4 \pi }$)$^{ \frac{1}{3} }$
r=(3*$\frac{900}{4 \pi }$)$^{ \frac{1}{3} }$
r≈5.99

Second, we must solve for surface area:
A=4$\pi$$r^{2}$
A=4*$\pi$*$5.99^{2}$
A≈450.88 $in^{2}$