4 - 5 15/16 8th grade 4 - 5 week twenty-three warm up
Some questions (c) 2015 by Certica.
Some questions (c) 2015 by Region 10 Educational Service Center.
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1
James has a cylinder and a cone with the same base area and height. The
cylinder has a radius of 3 inches, a height of 5 inches, and its volume is James used the cone to fill the cylinder with rice and found that it took 3
cones full of rice to fill the cylinder. Which formula can be used to find the
volume of the cone?
A
B
C
D
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2 Which calculation shows the volume, in cubic inches, of the cylinder below?
F
G
H
J
3
Look at the cylinder shown below. Which equation best represents the volume, V, of this cylinder in terms of π?
A V = 8πr3
B V = 2πr3
C
V = 3πr3
D V = 2πr2h
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4 Look at the cylinder shown below. Which equation best represents the volume, V, of this cylinder in terms of π?
F
V = 18.75π cubic units
G
V = 75π cubic units
H V = 3π cubic units
J
5
V = 15π cubic units
A cylinder with a diameter of 10 inches (in.) and a cube are shown.
Which statement about the volume of the two shapes is correct?
A Both figures have the same volume.
B The volume of the cube is greater than the volume of the cylinder.
C
The volume of the cylinder is greater than the volume of the cube.
D There is not enough information to determine the volume of these containers.
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6 A rancher wants to cut a metal cylinder in half to use as a watering trough as
shown below.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is
closest to the volume of the trough in cubic feet?
F
176.6
G
141.3
H 88.3
J
7
70.7
Margie chose to decorate a tissue box for an art project. She will need to cover
the box with wrapping paper. The figure below shows the dimensions of the
tissue box in inches.
How much wrapping paper, in square inches, will Margie need to cover the
box, before the top slit was cut?
A 164 square inches
B 124 square inches
C
120 square inches
D 84 square inches
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8 Thomas is going to paint the outside of a cylindrical grain silo. He only needs
to paint the lateral surface and roof.
If the radius of the roof is x feet and the silo is y feet high, which expression
represents the surface area Thomas needs to paint?
F
G
H
J
9 A statue is holding a pole in the shape of a cylinder. The length of the pole is
3.5 feet and the diameter is 2 inches. Which of the following is closest to the
surface area of the cylinder in square inches?
A 6.28
B 28.3
C
264
D 270
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10
Mike plans to cover a box with fabric.
Which is closest to the number of square inches of fabric needed to cover the
box?
F
184
G
192
H 208
J
228
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