AnswersINMT2 Integrated Math 2 Sem 2 26-27Volume of Cylinders, Cones, and Spheres

Volume of Cylinders, Cones, and Spheres Answers

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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
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

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
4

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

Question illustration
A
4πx2
B
2πx3
C
πx2 + 2x
D
2 + πx3
5

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
6

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
7

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
8

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
9

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
10

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

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