4.6 - Cavalieri's Principle and Volume of Composite Figures Answers

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or .

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?

The radius of a sphere is 6 units.

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

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

The volume of the sphere is π cubic units.

A cone fits inside a square pyramid as shown. For every cross section, the ratio of the area of the circle to the area of the square is or .

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.

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

A cylinder has a radius of 1 inch and height of 1 inch.What is the approximate volume of the cylinder? Round to the nearest hundredth. Use 3.14 for π.

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

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

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

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

A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters.About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter.