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 the sphere is π cubic units.

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

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 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
5

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
6

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
7

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
8

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
9

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.
10

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

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