Volume Comparison of Hemispherical and Cylindrical Tanks

A hemispherical water tank has a radius of 6 feet. The tank is used to fill a cylindrical container that has a radius of 3 feet and a height of 12 feet.

To determine if enough water can be filled into the cylindrical container from the hemispherical tank, first, calculate the volume of the hemispherical tank and then calculate the volume of the cylindrical container.

Use the formulas:

$$ V_{hemisphere} = \f\frac{2}{3} \pi r^3 $$

for the hemisphere and

$$ V_{cylinder} = \pi r^2 h $$

for the cylinder.