Question

The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft. What is the volume of the statue? Use 3.14 to approximate pi, and express your final answer to the nearest tenth.

Answer 1

339.1 ft³

Explanation:

The formula for the volume of a cone is

V = 1/3πr²h

Since the diameter of the statue is 12, this makes the radius 12/2 = 6.

Using 6 for r, 3.14 for pi, and 9 for h, we have

V = 1/3(3.14)(6²)(9) = 339.12 ≈ 339.1 ft³

Answer 2

`\sf~V=(1)/(3)\pi~r^2h`

Plug in what we know:


`\sf~V=(1)/(3)(3.14)(6)^2(9)`

Simplify exponent:


`\sf~V=(1)/(3)(3.14)(36)(9)`

Multiply:


`\sf~V=\boxed{\sf339.12}`