Question

The radius of a cone's circular base is 3.5 inches. The height of the cone is twice the base's diameter.

What is the volume of the cone?

Use π≈3.14.

Answer 1

The volume of the cone is approximately 179.66 cubic inches.

Explanation:

First, we need to find the diameter of the base of the cone:

diameter = 2 × radius = 2 × 3.5 inches = 7 inches

Then, we can find the height of the cone:

height = 2 × diameter = 2 × 7 inches = 14 inches

Now, we can use the formula for the volume of a cone:

V = (1/3) × π × r^2 × h

where r is the radius of the base and h is the height of the cone.

Substituting the values we found, we get:

V = (1/3) × π × 3.5^2 × 14

V ≈ 179.66 cubic inches

Therefore, the volume of the cone is approximately 179.66 cubic inches.

Answer 2

The diameter of the base is twice the radius, so it is:

2 × 3.5 inches = 7 inches

The height of the cone is twice the base's diameter, so it is:

2 × 7 inches = 14 inches

The volume of a cone can be calculated with the formula:

V = (1/3)πr²h

Substituting the values we have:

V = (1/3)π(3.5 inches)²(14 inches)

V = (1/3)π(12.25 inches²)(14 inches)

V = (1/3)π(171.5 inches³)

V ≈ 180.85 cubic inches

Therefore, the volume of the cone is approximately 180.85 cubic inches.