Gr.9 Academic Volume of Cones, Cylinders, and Spheres

Question 1

The volume of a cone is 1/3 the volume of a cylinder when the radii and heights are equal.

Accepted Answer

True

Question 2

What is the height of the cone?

Accepted Answer

30

Question 3

Which formula is used to find the volume of a sphere?

Accepted Answer

V = 4/3πr3

Question 4

Two cylindrical soup cans have a volume of 40 cubic inches. Can their surface areas be unequal?

Accepted Answer

Yes

Question 5

What is the best approximation for the volume of the cylinder created by this net?

Accepted Answer

600 cubic feet

Question 6

Three spheres are packed tightly in a box. What is the volume of all three spheres?

Accepted Answer

108π cubic inches

Question 7

The radius of a cone is doubled and the height is left the same. The volume of the new cone is

Accepted Answer

4 times the original volume.

Question 8

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

Accepted Answer

128π/3

Question 9

What is the volume, in cubic inches, of the cylinder?

Accepted Answer

240π

Question 10

What is the volume, in cubic meters, of the sphere?

Accepted Answer

2,304π

Question 11

A cylinder has a volume of 360π and a height of 10. What is the diameter of the base?

Accepted Answer

12

Questions 11