Starx14id
Answered

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.

Sagot :

IGreenid
[tex]\sf~V=\dfrac{1}{3}\pi~r^2h[/tex]

Plug in what we know:

[tex]\sf~V=\dfrac{1}{3}(3.14)(6)^2(9)[/tex]

Simplify exponent:

[tex]\sf~V=\dfrac{1}{3}(3.14)(36)(9)[/tex]

Multiply:

[tex]\sf~V=\boxed{\sf339.12}[/tex]

Answer:

339.1 ft³

Step-by-step 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