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 cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.

Question illustration
A
1,005 cm3
B
1,340 cm3
C
3,351 cm3
D
4,021 cm3
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

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
4

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
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

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.
7

The volume of the sphere is π cubic units.

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

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
9

The radius of the large sphere is double the radius of the small sphere.

Question illustration
A
2
B
4
C
6
D
8
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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