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TEST APPLY VOLUME FORMULAS

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

Three tennis balls are sold in a cylindrical container as shown. The cylinder has the same diameter as the tennis balls, 5.4 in. The height of the container is equal to the length of three tennis balls arranged in a line. What is the volume of the empty space of the cylinder?

a)

35.5π in335.5\pi\ in^3

b)

10π in310\pi\ in^3

c)

45π in345\pi\ in^3

d)

39.3π in339.3\pi\ in^3

2.

A cylindrical container has a height of 9 cm and a cap in the form of a semi-sphere with radius 2 cm. Find the total volume of the shape.

a)

40π cm340\pi\ cm^3

b)

35.5π cm335.5\pi\ cm^3

c)

41.3π cm341.3\pi\ cm^3

d)

45.5π cm345.5\pi\ cm^3

3.

I have a cylindrical container with radius 5 cm and a height of 20 cm. I want to put inside of the container some marbles with radius of 1 cm. How many marbles can I put inside of the container?

a)

500 marbles

b)

1,000 marbles

c)

375 marbles

d)

425 marbles

4.

Find the volume of the composite figure.

a)

V = 594 + 114.4π≅ 953.4 mm3V\ =\ 594\ +\ 114.4\pi\cong\ 953.4\ mm^3

b)

V =594 − 114.4π ≅234.6 mm3V\ =594\ -\ 114.4\pi\ \cong234.6\ mm^3

c)

V = 594 + 445.5π ≅ 1,993.6 mm3V\ =\ 594\ +\ 445.5\pi\ \cong\ 1,993.6\ mm^3

d)

V = 594 − 445.5π ≅283 mm3V\ =\ 594\ -\ 445.5\pi\ \cong283\ mm^3

5.

Find the volume of the composite figure.

a)

V = 216 − 8π ≅190.9 cm3V\ =\ 216\ -\ 8\pi\ \cong190.9\ cm^3

b)

V =216 + 8π ≅241.1 cm3V\ =216\ +\ 8\pi\ \cong241.1\ cm^3

c)

V =216 + 96π ≅ 517.6 cm3V\ =216\ +\ 96\pi\ \cong\ 517.6\ cm^3

d)

V = 144 −24π ≅68.6 cm3V\ =\ 144\ -24\pi\ \cong68.6\ cm^3

6.
Which equation would you use to find the volume of this composite figure? 
a)
83 + 4/3π(8)³
b)
83 + 4/3π(4)³
c)
83 + (1/2)(4/3)π(4)³
7.
Which equation would you use to find the volume of this composite figure?
a)
π(2)²(8) + 4/3π(2)³
b)
π(2)²(4) + 4/3π(2)³
8.

Find the volume of the composite figure.

a)

748 ft3

b)

850 ft3

c)

4950 ft3

d)

698 ft3

9.

Find the volume of the Sphere

a)

25π=78.5 m325\pi=78.5\ m^3

b)

125π=392.5 m3125\pi=392.5\ m^3

c)

166.6‾ π =523.6 m3166.\overline{6}\ \pi\ =523.6\ m^3

d)

20π =62,8 cm320\pi\ =62,8\ cm^3

10.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

80π =250 cm380\pi\ =250\ cm^3

b)

64π =200 cm364\pi\ =200\ cm^3

c)

90π=283 cm390\pi=283\ cm^3

d)

85π =180 cm385\pi\ =180\ cm^3

11.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
12.

Find the volume of the right cylinder?

a)

77π=241.78 cm377\pi=241.78\ cm^3

b)

3,773π =11,847.22 cm33,773\pi\ =11,847.22\ cm^3

c)

539π =1,692.46 cm3539\pi\ =1,692.46\ cm^3

d)

179.6‾ π =564.43 cm3179.\overline{6}\ \pi\ =564.43\ cm^3