Volume of Cylinders, Cones, and Spheres

Question 1

If the radius is 11 mm, what is the height? Round the answer to the nearest tenth of a millimeter.

Revolt · Accepted Answer

C: 14.7 mm

Question 2

Which statement best describes where the comes from in the formula derivation?

Revolt · Accepted Answer

B: It is the ratio of the area of the circle to the area of the square from a cross section.

Question 3

Which statements are true? Check all that apply.

Revolt · Accepted Answer

A: The radius of the cone is 9 units.; C: The height of the cone is 12 units.; E: The volume of the cone is represented by the expression π(9)2(12).

Question 4

Is Noah’s work correct? Explain.

Revolt · Accepted Answer

C: No, Noah used the diameter instead of the radius in the calculations.

Question 5

The prism’s volume is the area of the base,, times the height, .

Revolt · Accepted Answer

C: 2r(2r)

Question 6

The volume is approximately ft3.

Revolt · Accepted Answer

B: 871

Question 7

The prism’s volume is the area of the base,, times the height, .

Revolt · Accepted Answer

A: r

Question 8

Divide the .

Revolt · Accepted Answer

B: number of birds by the volume of the cone

Question 9

The density is approximately birds per cubic foot.

Revolt · Accepted Answer

A: 0.05

Question 10

Since the ratio of the areas is , then the volume of the cylinder is times the volume of the prism.

Revolt · Accepted Answer

C: pi/4

Volume of Cylinders, Cones, and Spheres Answers