AnswersOC27 GEO-1206310-S2-Degele-VOL7006PVolume of Cylinders, Cones, and Spheres

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

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1
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How many edges does a rectangular prism have?

6
Option
8
Option
10
Option
12
Option
2
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A polygon with 3 sides is stacked to form a prism.

Question illustration
square
Option
trapezoid
Option
triangle
Option
non-square rectangle
Option
3

three

square
Option
triangle
Option
trapezoid
Option
circle
Option
non-square rectangle
Option
4

The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Question illustration
a cone with base radius of 17 in.
Option
a cone with base radius of 34 in.
Option
a triangular pyramid with side length of 17 in.
Option
a triangular pyramid with side length of 34 in.
Option
6

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.
7

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
8

A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground.What is the area of the surface of the silo that will be exposed to rain, wind, and sun?

A
450π square feet
B
475π square feet
C
500π square feet
D
525π square feet
9

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
11

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
12

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
13

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
14

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
15

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.
16

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
17

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

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