The formula for Surface Area of a cylinder is 2πrh + 2πr². So solve for the height and radius:
A= 2πrh + 2πr²
because the height is the same as the radius, you can do this:
A=2πr² + 2πr²
combine like terms:
A=4πr²
Plug in your information:
100π = 4πr²
Solve for r:
r= 5
Solve for Volume: (v=πr²h)
Since height is the same as volume, combine like terms:
V=πr³
r³= 125
Plug into the equation:
V=125π
