Volume of a Cylinder

What is the formula for calculating the area of the base of a cylinder?

• πr²

• 2πr

• πd

• 2πr²

How is the radius of a circle related to its diameter?

• The radius is twice the diameter.

• The diameter is half the radius.

• The radius is half the diameter.

• They are unrelated.

A cylinder has a base area of 78.5 in² and a height of 11 in. What is its volume?

• 785.0 in³

• 863.5 in³

• 78.5 in³

• 11.0 in³

A cylindrical juice can has a volume of 300 cm³ and a height of 14 cm. Using π ≈ 3.14, what is the approximate radius of the can?

• 2.1 cm

• 2.6 cm

• 3.0 cm

• 3.5 cm

What is the volume of a single safety barrel with a diameter of 0.9 meters and a height of 1.2 meters? Use 3.14 for pi.

• 0.76302 m^3

• 0.38151 m^3

• 1.52604 m^3

• 0.67824 m^3

A city manager has 15 cubic meters of sand. How many safety barrels, each with a volume of approximately 0.763 cubic meters, can be completely filled?

• 18

• 19

• 20

• 21

Lin is building a cylindrical planter with a base diameter of 15 inches. If she has 5,000 cubic inches of soil, what is the height of the largest planter she can build? Use 3.14 for pi and round to the nearest inch.

• 25 inches

• 28 inches

• 30 inches

• 32 inches

What two measurements are essential to determine the volume of a cylinder?

• Diameter and circumference

• Height and diameter

• Height and radius

• Circumference and radius