A cone is cut out of a cylinder of the same height what is the volume of the remaining solid to the nearest tenth cubic foot

A cone is cut out of a cylinder of the same height what is the volume of the remaining solid to the nearest tenth cubic foot class=


Answer :

Answer:

  20357.5 ft³

Step-by-step explanation:

You want the volume of a cylinder of radius 18 ft and height 30 ft with a cone of the same dimensions removed.

Volume

The volume of the cylinder itself is ...

  V = πr²h

The volume of the conical space is ...

  V = 1/3πr²h

The remaining volume after the cone is removed is then ...

  V = πr²h -1/3πr²h = πr²h(1 -1/3)

  V = π(18 ft)²(30 ft)(2/3) ≈ 20357.5 ft³

The volume of the remaining solid is about 20357.5 cubic feet.