Volume of Cylinders, Cones, and Spheres — Unit test Answers

A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units.

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.What is the radius of the grape? Round to the nearest tenth of a centimeter.

An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.What is the perpendicular height of the prism?

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.

An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units.

The volume of the triangular block is 4 cubic inches.

The right triangular prism has a volume of 1,152 cm3.

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.

An oblique cylinder is shown.

The diameter of the base of the cone measures 8 units. The height measures 6 units.

The large sphere has a diameter of 12 feet.

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB measures 30°.

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.

The height of a right rectangular prism is three times the width of the base. The length of the base is twice the width.

The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2.

A right triangular prism is constructed so that its height is equal to the leg length of the base.