Volume of Cylinders, Cones and Spheres

How do you convert the volume of a cylinder from cubic inches to cubic feet?

• Multiply the volume in cubic inches by 1728.

• Add 1728 to the volume in cubic inches.

• Divide the volume in cubic inches by 1728.

• Subtract 1728 from the volume in cubic inches.

What is the formula for the volume of a cylinder?

• V = πr²h

• V = 2πrh

• V = πr² + h

• V = πr²h²

How does the volume of a cone compare to the volume of a cylinder with the same base and height?

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

• The volume of the cone is one-half that of the cylinder.

• The volume of the cone is one-third that of the cylinder.

• The volume of the cone is twice that of the cylinder.

How do you find the volume of a composite shape that includes a cylinder and a cone?

• Calculate the volume of each shape separately and then add them together.

• Multiply the height of the cylinder by the radius of the cone.

• Add the surface areas of both shapes together.

• Use the formula for the volume of a sphere instead.

What value do we use to approximate π?

• π ≈ 3.14

• π ≈ 3.00

• π ≈ 3.50

• π ≈ 3.25

What is the relationship between the radius and diameter of a circle?

• Diameter = Radius

• Diameter = 2 × Radius

• Diameter = Radius × 2

• Diameter = Radius ÷ 2

What is the formula for the surface area of a cylinder?

• SA = πr²h

• SA = 2πr² + 2πrh

• SA = 2πrh + 2πr²

• SA = πd²h

If a cone has a radius of 4 in and a height of 9 in, what is its volume?

• 32π ≈ 100.5 in³

• 48π ≈ 150.8 in³

• 64π ≈ 201.1 in³

• 24π ≈ 75.4 in³

What is the volume of a sphere with a radius of 5 cm?

• 400 cm³

• 523.6 cm³

• 300 cm³

• 600 cm³

What is the volume of a cylinder with a radius of 7 inches and a height of 10 inches?

• 490π in³ (approximately 1539.38 in³)

• 350π in³ (approximately 1099.56 in³)

• 400π in³ (approximately 1256.64 in³)

• 600π in³ (approximately 1884.96 in³)