1.
A right circular cylinder and an oblique circular cylinder are given.

True or False?
If the radii of both cylinders are equal, the volumes of the cylinders will be equal because they have the same height.

 Choose: True False

2.
A right circular cylinder and a right rectangular prism are given.

True or False?
Cavalieri's Principle does not apply to these solids because their bases are not the same shape.
 Choose: True False

3.

The three solids shown above have the same height and matching cross sectional areas parallel to the bases. Which of the solids have the same volume?
Choose:

 A and C only. A and B only. B and C only. A, B and C.

4.
A right circular cylinder, A, and an oblique circular cylinder, B, are shown at the right. Find the volume of cylinder B in cubic inches.

Choose:

 110π in3 220π in3 440π in3 550π in3

5.

By Cavalieri's Principle, this right triangular prism and right rectangular prism have the same volume. If the center plane intersects the solids parallel to their bases, which of the following choices could be the base and height of the triangular cross section?
Choose:

 h = 4; b = 12 h = 8; b = 12 h = 4; b = 8 h = 8; b = 14

6.
What is the volume of an oblique cylinder with a radius of 3 and a height of 9?

Choose:
 27 units3 27π units3 81 units3 81π units3

7.
The right circular cylinder and the right rectangular prism have the same heights and the same base areas. A plane, parallel to the bases slices the two solids.

If the rectangular cross section has a base length of 16 inches and a width of 4π inches, what is the radius of the cylinder's cross section?
Choose:

 32 in. 8π in. 8 in. 6π in.

8.
An oblique hexagonal prism has a base area of 68 square meters and a lateral (slant) side length of meters. The lateral side makes an angle of 45ยบ with the horizontal plane containing the base, as shown. What is the volume of the prism?

Choose:

 34 m3 340 m3 m3 680 m3

9.
A right triangular prism and a right square prism are given. The base of the triangular prism is an isosceles right triangle with a hypotenuse of .

Both solids have a height of 10, and their bases have equal areas.
A plane slices both solids parallel to their bases. Find the length of the side of the square prism's cross section.
Choose:

 4.5 6

 10. A series of coins are stacked to represent a right circular cylinder (on the left). The coins are then "slid" to represent a distorted cylinder (on the right). The same number of congruent coins was used in each stack. Which of the following statements will be TRUE regarding these stacks of coins? (Check all that apply, and hit SUBMIT!) The volume of both stacks will be the same. The area of a cross section parallel to the bases will not be equal due to the distorted nature of the second stack. The height of the distorted stack will be slightly larger than that of the straight stack. Cavalieri's Principle can be used in this situation to verify that the volumes of the stacks are equal.