Unit 7 Review #2 2025

Which equation can be used to find the total surface area of the cylinder with a diameter of 4 inches and height of 15 inches?

• 2πr² + 2πrh = 2π(2)² + 2π(2)(15)

• 2πr² + 2πrh = 2π(4)² + 2π(4)(15)

• πr²h + πrh = π(4)²15 + π(4)(15)

• 2πr²h + 2πrh = 2π(4)²15 + 2π(4)(15)

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

• V = (15) π 10

• V = (5) π 100

• V = (10) π 5

• V = (25) π 100

The volume of a sphere with a diameter of 17 inches is approximately:

(Use the radius)

• 2572.44 in³

• 2742 in³

• 257.3 in³

• 1373 in³

A Pringles container is shaped like a cylinder. The diameter of the container is 4 inches and the height is 8 inches. The top of the cylinder is removed to eat the chips, so only one base is used. What is the total surface area of the cylinder?

• 36 square inches

• 100 square inches

• 113.09 square inches

• 150.79 square inches

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

• V = π(6.4)²(9)

• V = π(4.5)²6.4

• V = π(3.2)²(9)

• V = π(9)²6.4

A container that holds candy is shaped like a cylinder. The diameter of the container is 2 inches, and the height of the container is 8 inches. The area of the paper label (lateral surface area) is:

• 50.26 square inches

• 25.13 square inches

• 32 square inches

• 12.56 square inches

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

• 1260 in²

• 768 in²

• 90 in²

• 42 in²

A cylinder is divided into 4 congruent sections. If the volume of the bottom section is 3x, which of the following expressions represents the volume of the entire cylinder?

• x + 12

• 4x

• 3x + 4

• 12x

The base of a container is shaped like a triangular prism. The dimensions are below. If the height of the container is 18 inches, what is the lateral surface area of the container?

• 21 in²

• 126 in²

• 39 in²

• 378 in²

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

• The volume of the cylinder is about 169 cubic inches greater that the volume of the cone.

• The volume of the cylinder is about 169 cubic inches less that the volume of the cone.

• The volume of the cylinder is about 35 cubic inches greater that the volume of the cone.

• The volume of the cylinder is about 35 cubic inches less that the volume of the cone.