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

Volume of Cylinders, Cones, and Spheres Answers

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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.
2
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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
3

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
4

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
5

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
6

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

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

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

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