AnswersOH-Geometry BSolving for Side Lengths of Right Triangles

Volume of Cylinders, Cones, and Spheres Answers

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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
2
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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
3

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
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 cone is twice the radius of its base.

Question illustration
A
πx3
Option A
B
πx2
Option B
C
2πx3
D
4πx3
6

A cone has a slant length of 5 and a diameter of 4.

Question illustration
A
12.56 cubic units
B
18.84 cubic units
C
20.93 cubic units
D
25.12 cubic units
7

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
8

The volume of the sphere is π cubic units.

Question illustration
A
4 units
B
5 units
C
8 units
D
10 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

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

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

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Volume of Cylinders, Cones, and Spheres Answers…