Surface Area Answers

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or .

Question illustration
A
the volume of the prism or (2r)(h) or πrh.
Option A
B
the volume of the prism or (4r2)(h) or 2πrh.
Option B
C
the volume of the prism or (2r)(h) or r2h.
Option C
D
the volume of the prism or (4r2)(h) or r2h.
Option D
2
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The radius of a sphere is 6 units.

Question illustration
A
π(6)2
Option A
B
π(6)3
Option B
C
π(12)2
Option C
D
π(12)3
Option D
3

The base diameter and the height of a cone are both equal to x units.

Question illustration
A
πx2
B
2πx3
C
πx2
Option C
D
πx3
Option D
4

A cone fits inside a square pyramid as shown. For every cross section, the ratio of the area of the circle to the area of the square is or .

Question illustration
A
the volume of the pyramid or or πrh.
Option A
B
the volume of the pyramid or or πr2h.
Option B
C
the volume of the pyramid or or πr2h.
Option C
D
the volume of the pyramid or or πr2h.
Option D
5

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.

Question illustration
A
1,005 cm3
B
1,340 cm3
C
3,351 cm3
D
4,021 cm3
6

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

A
12π cubic inches
B
36π cubic inches
C
64π cubic inches
D
81π cubic inches
7

An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units.

Question illustration
A
2 units
B
3 units
C
6 units
D
9 units
8

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.

Question illustration
A
21 units
B
24 units
C
25 units
D
28 units
9

The volume of a cylinder is 4πx3 cubic units and its height is x units.Which expression represents the radius of the cylinder, in units?

A
2x
B
4x
C
2πx2
D
4πx2
10

A right cylinder has a radius of 2 units and a height of 5 units.

Question illustration
A
31.4 cubic units.
B
62.8 cubic units
C
157.1 cubic units
D
314.2 cubic units.

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