Question

A child's set of wooden building blocks includes a cone with a diameter of 6 cm and a height of 8 cm. What is the volume of the cone? Use 3.14 for π . Enter your answer in the box as a decimal to the nearest cubic centimeter. cm³ A right circular cone with circular base. The diameter is labeled as 6 centimeters. The height is labeled as 8 centimeters. The angle between the vertical line and diameter is marked perpendicular.

Answer 1

75 cubic centimeters

Explanation:

Volume of a cone is the area of the base times a third of the height.

The base is a circle.

The formula for the area of a circle is
`\pi \cdot r^2`.

We are given that we want to use
`3.14` for
`\pi` and

r=(diameter)/2=6/2=3 cm.

So the area of the base is
`3.14 \cdot 3^2=28.26`.

Now the height of the cone is 8 cm.

A third of the height is 8/3 cm.

So we want to compute area of base times a third of the height.

Let's do that:

`(8)/(3) \cdot 28.26`

75.36 cubic centimeters

To the nearest cubic centimeters this is 75