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

The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters.

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

Every possible cross section of a three-dimensional figure is a circle. What is the figure?

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.

A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters and 12 centimeters. The distance between the bases is 10 centimeters.What is the surface area of the triangular prism?

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

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?

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

An oblique cylinder is shown.

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

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.

The volume of the triangular block is 4 cubic inches.

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

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

Which three-dimensional figure has double the number of edges as faces?

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°.

Which shape could be thought of as being created by stacking congruent polygons?

An 8 inch by 6 inch rectangle is the base of the rectangular prism below.

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side length.What is the lateral area of the prism?

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?