Changing Dimensions of 3-D Figures Answers

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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
2
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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
3

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
4

The volume of the sphere is π cubic units.

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

A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters.About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter.

A
226 cm3
B
301 cm3
C
452 cm3
D
678 cm3
6

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
7

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
8

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

Question illustration
A
4πx2
B
2πx3
C
πx2 + 2x
D
2 + πx3
9

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
10

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

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