6 - 2 6 - 32 8th grade warm up week thirty-two
Some questions (c) 2015 by Region 10 Educational Service Center.
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1
Look at the cylinder shown below. 3
A cylindrical container contains some
sand as shown below. How much more
sand must be added for the container to
be half full? Use 3.14 for pi.
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
2 For a science project, James needs to fill
a tennis ball with sand but he doesn't
know how much he will need. He
measured the diameter of the tennis ball
and found it to be 6 cm. Which of the
following would be the approximate
amount of sand he would need?
F
113.04 cubic cm
G
339.12 cubic cm
H 452.16 cubic cm
J
904.32 cubic cm
A 785 cubic inches
B 392.5 cubic inches
C
D 157 cubic inches
4 Frosty Snacks sells ice cream in a
cylindrical cup and in cones. The small
cup of ice cream has a height of 4 inches
and a radius of 2 inches. The small cone
has a height of 6 inches and a diameter
of 5 inches. How much more ice cream
will fit into a small cup than a small
cone? Use 3.14 for pi.
F
50.24 cubic inches
G
10.99 cubic inches
H 39.25 cubic inches
J
Page 3
235.5 cubic inches
21.99 cubic inches
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5
In order to have air circulation, the Best
Grain Company stores rice in a cone that
is enclosed in a cylinder as shown in the
picture below. How much rice can the
company hold if they have 15 containers
of the same size? Use 3.14 for pi.
A 1,017,360 cubic meters
B 339,120 cubic meters
C
7
Mya has an exercise ball in the shape of
the sphere shown below. She wants to
increase the weight of the ball by filling
it with water.
Which is closest to the amount of water,
in cubic inches, that Mya's exercise ball
will hold if it is completely full? Use 5,086,800 cubic meters
D 508,680 cubic meters
A 113 in.3
B 452 in.3
6 A gardener has a cylindrical planter that
has a diameter of 16 inches and is 2 feet
deep. What is the approximate number
of cubic feet of potting soil that he will
need to fill the planter?
F
2.79 ft3
G
6.28 ft3
C
904 in.3
D 2,713 in.3
H 16.75 ft3
J
401.92 ft3
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8 A gardener has a cylindrical planter that
has a diameter of 16 inches and is 2 feet
deep. What is the approximate number
of cubic feet of potting soil that he will
need to fill the planter?
F
2.79 ft3
G
6.28 ft3
10
A net for a cylinder is shown below.
H 16.75 ft3
J
401.92 ft3
9 Below is the net of a rectangular prism.
Which of these is closest to the total
surface area of the cylinder?
F
26 cm2
G
38 cm2
H 52 cm2
J
132 cm2
What is the total surface area of the
prism?
A 143.2 in2
B 55.6 in2
C
89.6 in2
D 92.4 in2
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