Question

The diameter of a cone's circular base is 12 inches. The height of the cone is 8 inches.

What is the volume of the cone?

Use π≈3.14.

Enter your answer rounded to the nearest tenth in the box.

in³

Answer 1

`{≈301.4 \: in}^(3)`

Explanation:

First, we need to find the radius of the cone's circular base:

Since d = 12, r = 0,5 × d = 0,5 × 12 = 6

Then, we need to find the area of the cone's circular base:

`s(base) = \pi * {r}^(2) = 3.14 * {6}^(2) = 3.14 * 36 = 113.04`

Finally, we can find the volume of the cone:

`v(cone) = (1)/(3) * s(base) * h = (1)/(3) * 113.04 * 8 =301.44≈301.4`

Answer 2

`\huge\boxed{\sf Volume \approx 301.4 \ in.^3}`

Explanation:

Given that,

Diameter = d = 12 in.

Height = h = 8 in.

Finding radius:

We know that,

Radius = d/2

So,

Radius = 12/2

Radius = r = 6 in.

Finding volume:

`\displaystyle Volume \ of \ cone = (\pi r^2h)/(3)`

Put the given data in the above formula as well as π = 3.14.

So,

`\displaystyle Volume = ((3.14)(6)^2(8))/(3) \\\\Volume = (3.14 * 36 * 8)/(3) \\\\Volume = (904.32)/(3) \\\\Volume \approx 301.4 \ in.^3\\\\\rule[225]{225}{2}`