LEAP 2025 Math Grade 8 Chapter 14

What is the volume of a cone with a radius of 6 m and a height of 12 m?

$V=\frac{1}{3}{\mathrm{\pi r}}^2\mathrm{h}$

This cone and cylinder each have the same volume and radius. What is the height of the cone?

cm

The figure shows a right-circular cylinder and a right-circular cone. The cylinder and the cone have the same base and the same height.

Part A.

What is the volume of the cone, in cubic feet?

Part B.

What is the ratio of the cone’s volume to the cylinder’s volume?

A right circular cone is shown in the figure below. Point A is the vertex of the cone and point B lies on the circumference of the base of the cone.

The cone has a height of 24 units and a diameter of 14 units. What is the distance from point A to point B?

units