Volume of Cylinders, Cones, and Spheres Answers

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

Question illustration
A
πx3
Option A
B
πx2
Option B
C
2πx3
D
4πx3
2
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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
3

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
4

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
5

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

Question illustration
A
4πx2
B
2πx3
C
πx2 + 2x
D
2 + πx3
6

A cylinder has a radius of 1 inch and height of 1 inch.What is the approximate volume of the cylinder? Round to the nearest hundredth. Use 3.14 for π.

A
1.05 cubic inches
B
1.57 cubic inches
C
3.14 cubic inches
D
6.28 cubic inches
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 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
9

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
10

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

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