Question

Given that the surface area of a sphere is 77 cm, find its volume.

please help!

Answer 1

Surface area of a sphere:\[A=4\pi r^2\]
Volume of a sphere:\[V=\frac{4}{3}\pi r^3\]
Given that the surface area is 77 cm, you have
\[77=4\pi r^2\]
Solve for r, and use that to compute the volume.