Volume and Surface Area Review

A trash can is shaped like a cylinder. The height of the trash can is 2.75 feet. The diameter of the trash can is 1.5 feet. Which equation can be used to find the volume, v, of the trash can in cubic feet?

• V = (1/3)π(0.75)(2.75)

An ice cream cone has a height of 4.5 inches and a diameter of 2.2 inches. Which measurement is closest to the volume of the ice cream cone in cubic inches?

• 5.7 in.³

• 22.8 in.³

• 9.2 in.³

• 17.1 in.³

The ball of a snow globe is shaped like a sphere. The radius of the ball of the snow globe measures 3 inches. Which measurement is closest to the volume of the snow globe?

• 904.8 in.³

• 113.1 in.³

• 84.8 in.³

• 12.6 in.³

A cylinder and its dimensions are shown. Which measurement is closest to the volume of the cylinder in cubic feet?

• 7,238.23 ft³

• 452.39 ft³

• 226.19 ft³

• 1,809.56 ft³

A cylinder and a cone are shown. The height and the radius of the cone are congruent to the height and the radius of the cylinder. Which statement is true?

• The volume of the cone is equal to the volume of the cylinder.

• The volume of the cone is 3 times the volume of the cylinder.

• There is not enough information to determine the volume of the cone.

An aluminum can is in the shape of a cylinder. It has a radius of 3 inches and a height of 2.5 inches. Which equation can be used to find V, the volume of the can in cubic inches?

• V = π(3)²(2.5)

• V = π(2.5)²(3)

• V = π(6)²(2.5)

• V = (1/3)π(3)²(2.5)

For her birthday, Paula was given a cone-shaped gift box with a gift inside. Which measurement is closest to the volume of the gift box in cubic inches?

• A 263.9 in.³

• B 2,770.9 in.³

• C 923.6 in.³

• D 1,385.4 in.³

A candy company is developing a new lollipop that will be the largest the company has ever created. It will be in the shape of a sphere and have a diameter of 9 centimeters. Which measurement is closest to the volume of the lollipop in cubic centimeters?

• 3,053.6 cm³

• 286.3 cm³

• 2,290.2 cm³

• 381.7 cm³

A coffee canister is shaped like a cylinder. It has a radius of 6.3 inches and a height of 10 inches. Which measurement is closest to the volume of the coffee canister in cubic inches?

• A 415.6 in.³

• B 1,246.9 in.³

• C 623.4 in.³

• D 4,987.6 in.³

Cynthia makes and sells paperweights at the street market. She makes them in two shapes, cylinder and cone. Which statement about the volumes of the paperweights is true?

• The volume of the cylinder paperweight is about 3 times greater than the volume of the cone paperweight.

• The volume of the cone paperweight is about 3 times greater than the volume of the cylinder paperweight.

• The volume of the cylinder paperweight is about the same as the volume of the cone paperweight.

• The volume of the cylinder paperweight is about 1/3 less than the volume of the cone paperweight.