AnswersEAP-Geometry B CREquation of a Circle

Volume of Cylinders, Cones, and Spheres Answers

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1
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The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

A
π cm3
Option A
B
8π cm3
C
π cm3
Option C
D
16π cm3
2
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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.
3

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
4

The radius of the large sphere is double the radius of the small sphere.

Question illustration
A
2
B
4
C
6
D
8
5

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
6

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
7

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
8

A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters.About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter.

A
226 cm3
B
301 cm3
C
452 cm3
D
678 cm3
9

The height of a cylinder is twice the radius of its base.

Question illustration
A
4πx2
B
2πx3
C
πx2 + 2x
D
2 + πx3
10

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

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