Unit 7 Review #1 2025

Which equation can be used to find the total surface area of the cylinder?

• πr² + πrh = π(4)² + π(4)(12)

• πr²h + 2πr = π(4)²12 + 2π(4)

• 2πr² + 2πrh = 2π(4)² + 2π(4)(12)

• 2πr² + 2πr = 2π(4)² + 2π(4)

Find the volume of the sphere. (Remember to use the radius)

• 18 in³

• 381.70 in³

• 84.82 in³

• 339.29 in³

A cylinder has a radius of 14.23 feet and a height of 52.71. What is the volume of the cylinder?

• 750.06 cubic feet

• 2356.39 cubic feet

• 33,531.47cubic feet

• 10,673.4 cubic feet

Which equation can be used to find V, the volume of the cylinder?

• V = π(4.2)²(10)

• V = π(8.4)²(10)

• V = π(10)²(4.2)

• V = π(5)²(8.4)

A container that holds candy is shaped like a cylinder. The diameter of the container is 4 inches, and the height of the container is 6 inches. What is the area of the paper label? (Hint: lateral surface area and use the radius)

• 24 in²

• 37.69 in²

• 113.09 in²

• 75.39 in²

What is the total surface area of the rectangular prism below?

• 1008 in²

• 648 in²

• 40 in²

• 84 in²

A cylinder is divided into 4 congruent sections. If the volume of the bottom section is 2x, which of the following expressions represents the volume of the entire cylinder?

• x + 8

• 8x

• 2x + 4

• 4x

The base of a container is shaped like a triangular prism. The dimensions are below. If the height of the container is 16 inches, then the lateral surface area of the container is given by:

• 15 in²

• 125 in²

• 240 in²

• 1875 in²

Which statement is true about the volumes of the cone and cylinder below?

• The volume of the cylinder is about 361 cubic inches greater that the volume of the cone.

• The volume of the cylinder is about 361 cubic inches less that the volume of the cone.

• The volume of the cylinder is about 40 cubic inches greater that the volume of the cone.

• The volume of the cylinder is about 40 cubic inches less that the volume of the cone.

The area of the Base of a cylinder is 23.5cm². If the height is 4.6 cm, which expression is the volume of cylinder?

• (23.5²)(4.6)cm³

• (23.5)(4.6)cm³

• (23.5²)(4.6²)cm³

• (23.5²)(4.6²)cm³