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

Volume of Cylinders, Cones, and Spheres — Unit test Answers

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1
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The radius of the sphere is 10 units.

Question illustration
A
42 cubic units
B
126 cubic units
C
4187 cubic units
D
73,385 cubic units
2
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An oblique square prism is shown.

Question illustration
A
x(x – 2) cubic units
B
x(x +1) cubic units
C
x2(x – 2) cubic units
D
x2(x +1) cubic units
3

An oblique prism has a square base and height of 3 centimeters.

Question illustration
A
30 cm3
B
45 cm3
C
60 cm3
D
75 cm3
4

An oblique cone has a radius of 5 units and a height of 9 units.

Question illustration
A
117.8 cubic units
B
141.3 cubic units
C
235.5 cubic units
D
282.6 cubic units
5

A solid right pyramid has a square base with an edge length of s units and a height of h units.

Question illustration
A
s2h units3
Option A
B
s2h units3
Option B
C
s2h units3
D
3s2h units3
6

A triangular prism with a rectangular base is stacked on top of a rectangular prism. The rectangle has side lengths of 20 and 15 units. The rectangular prism has a height of 12. The triangular prism has a height of 16 units.

Question illustration
A
1,200 units3
B
4,400 units3
C
5,040 units3
D
6,000 units3
7

Which statements about the cylinder are true? Select two options.

A
The radius of the cylinder is 2x units.
B
The area of the cylinder’s base is πx2 square units.
Option B
C
The area of the cylinder’s base is πx2 square units.
Option C
D
The height of the cylinder is 2x units.
E
The height of the cylinder is 4x units.
8

A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches.Which could be the lengths of the diagonals of the rhombus?

A
2 in. by 12 in.
B
4 in. by 11 in.
C
6 in. by 8 in.
D
8 in. by 9 in.
9

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

Question illustration
A
2 ft3
B
4 ft3
C
6 ft3
D
8 ft3
10

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

Question illustration
A
cm3
Option A
B
cm3
Option B
C
cm3
Option C
D
cm3
Option D
11

The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units.Which expression represents the volume of the prism, in cubic units?

A
x3 + 9
B
x3 + 3x2
C
x3 + 3x + 3
D
x3 + 6x2 + 9x
12

A triangular prism is shown. A cylinder is cut out of the center of the prism. The triangular base has side lengths of 14 and 10 units. The heights of both the cylinder and prism are 8 units. The cylinder has a diameter of 5 units.

Question illustration
A
(14)(10)(8) – π(2.52)(8)
Option A
B
(14)(10)(8) + π(2.52)(8)
Option B
C
(10)(8)(14) – π(2.52)(8)
Option C
D
(10)(8)(14) + π(2.52)(8)
Option D
13

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm.

Question illustration
A
12 cm3
B
16 cm3
C
32 cm3
D
48 cm3
14

A grain silo is composed of a cylinder and a hemisphere. The diameter is 4.4 meters. The height of its cylindrical portion is 6.2 meters.

Question illustration
A
37.1 m3
B
71.9 m3
C
116.5 m3
D
130.8 m3
15

A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters.

Question illustration
A
21.1 cm3
B
23.6 cm3
C
27.6 cm3
D
31.6 cm3

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