Cavalieri's Principle and Volume of Composite Figures

Question 1

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.

Revolt · Accepted Answer

1,005 cm3

Question 2

The volume of a cylinder is 4πx3 cubic units and its height is x units.Which expression represents the radius of the cylinder, in units?

Revolt · Accepted Answer

2x

Question 3

The radius of a sphere is 6 units.

Revolt · Accepted Answer

π(6)3

Question 4

The radius of the large sphere is double the radius of the small sphere.

Revolt · Accepted Answer

8

Question 5

The height of a cylinder is twice the radius of its base.

Revolt · Accepted Answer

2πx3

Question 6

The base diameter and the height of a cone are both equal to x units.

Revolt · Accepted Answer

πx3

Question 7

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Revolt · Accepted Answer

36π cubic inches

Question 8

A right cylinder has a radius of 2 units and a height of 5 units.

Revolt · Accepted Answer

62.8 cubic units

Question 9

A cone has a slant length of 5 and a diameter of 4.

Revolt · Accepted Answer

12.56 cubic units

Question 10

The height of a cone is twice the radius of its base.

Revolt · Accepted Answer

πx3

Cavalieri's Principle and Volume of Composite Figures Answers