Volume Calculations of Cylinders, Cones, and Spheres

What formula is used to calculate the volume of a cylinder?

• V = πr^2h

• V = 1/3πr^2h

• V = 4/3πr^3

• V = 2πrh

How do you find the radius of a cylinder if given the diameter?

• Divide the diameter by 2

• Multiply the diameter by 2

• Square root the diameter

• Square the diameter

What is the volume of a cylinder with a radius of 2.6 and height of 11.2?

• 314.16 cubic feet

• 75.36 cubic feet

• 237.78 cubic feet

• 150.72 cubic feet

To find the area of the base for both cones and cylinders, which formula is used?

• πr

• πr^2

• 2πr

• πr^3

What distinguishes the volume formula of a cone from that of a cylinder?

• The radius is squared twice

• It uses a different value for π

• The height is not considered

• It includes multiplying by 1/3

What is the volume of a cone with a base radius of 4 and height of 10?

• 167.47 cubic inches

• 502.4 cubic inches

• 201.06 cubic inches

• 314.16 cubic inches

What is the relationship between the volume of a cone and a cylinder with the same base and height?

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

• The volume of a cone is 3 times that of the cylinder

• The volume of a cone is 1/3 that of the cylinder

• The volume of a cone is the same as that of the cylinder

How do you find the radius of a sphere given its diameter?

• Divide the diameter by 2

• Multiply the diameter by 2

• Square the diameter

• Square root the diameter

What is the formula to calculate the volume of a sphere?

• V = 1/3πr^2h

• V = 2πrh

• V = 4/3πr^3

• V = πr^2h

What is the volume of a sphere with a radius of 6?

• 452 cubic feet

• 288 cubic feet

• 1,808 cubic feet

• 904 cubic feet