LEAP 2025 Math Grade 8 Chapter 14

1 pt

1.

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

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

A

36π

B

144π

C

432π

D

1,296π

1pt

2.

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

1pt

.

**Part B.**

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

1 pt

4.

Using only whole numbers, provide the radius and height for 4 different cylinders that will hold exactly 200.96 cubic inches.

Tank 1
Radius=** inches
Height=** inches

Tank 2
Radius=** inches
Height=** inches

Tank 3
Radius=** inches
Height=** inches

Tank 4
Radius=** __**inches
Height=

1pt

5.

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?