Question

Geometry
Exact volume

Answer 1

• Exact volume:
  `(30184\pi)/(3)`
• Approximate volume: 31608.6

Explanation:

The volume of the cylinder is
`(\pi)(14^(2))(42)=8232\pi`.

The volume of the hemisphere is
`(2)/(3)(\pi)(14^(3))=(5488)/(3)\pi`.

Adding these together gives the exact volume to be
`(30184\pi)/(3)`.

To the nearest tenth, this is 31608.6 square feet.