Chapter 11: Extending Volume

Determine the shape of a cross section formed by the intersection of a plane perpendicular to the base of the solid shown below.

• circle

• parabola

• rectangle

• triangle

Describe the three-dimensional solid generated by rotating the two-dimensional shape shown below around the given axis.

• a cone with a radius of 2 inches and a height of 2 inches

• a hemisphere with a radius of 2 inches

• a sphere with a radius of 2 inches

• a triangular pyramid with a height of 2 inches and base that is an equilateral triangle with 2-inch sides

What is the scale factor between the large cylinder on the left and the similar cylinder on the right?

• 16:9

• 4:3

• 10:3

• 8:15

If the radius of a sphere is tripled, the volume is how many times as great?

• 27

• 6

• 3

• 9

Determine the shape of a cross section formed by a cube and a plane parallel to one side of the cube.

• rectangle that is not a square

• square

• trapezoid

• triangle

Describe the three-dimensional solid generated by rotating a square that is 5 meters long on each side around an axis that coincides with one of the sides.

• a cone with a diameter of 10 feet and a height of 5 feet

• a cube with each edge being 10 feet

• a cylinder with a diameter of 10 feet and a height of 5 feet

• a sphere with a 10-foot diameter

Find the volume to the nearest tenth of a right cylinder with a diameter of 10 centimeters and a height of 8 centimeters.

• 1326.8 cm³

• 2513.3 cm³

• 628.3 cm³

• 251.3 cm³

The base of a right prism has an area of 10 square feet. The height of the prism is 6 feet. What is its volume?

• 360 ft³

• 60 ft³

• 120 ft³

• 180 ft³

Find the volume of the right prism.

• 216 cm³

• 264 cm³

• 144 cm³

• 192 cm³

Find the volume of the right cylinder to the nearest tenth.

• 188.5 m³

• 282.7 m³

• 1131.0 m³

• 245.0 m³