Volume of Cylinders, Cones, and Spheres

Question 1

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

Revolt · Accepted Answer

2r(2r)

Question 2

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

Revolt · Accepted Answer

r

Question 3

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

Revolt · Accepted Answer

pi/4

Question 4

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

Revolt · Accepted Answer

14.7 mm

Question 5

Is Noah’s work correct? Explain.

Revolt · Accepted Answer

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

Question 6

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

Revolt · Accepted Answer

14.7 mm

Question 7

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

Revolt · Accepted Answer

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

Question 8

Which statements are true? Check all that apply.

Revolt · Accepted Answer

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

Volume of Cylinders, Cones, and Spheres Answers