Aims Grade 8 Mathematics Sample Test And Think-Throughs With Answers Page 26
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36December 2009
A right cylinder has a height of 5 inches and a radius of 7 inches. What is its volume in
25
terms of ?
70 cubic inches
A
168 cubic inches
B
175 cubic inches
C
245 cubic inches
D
The question is asking me to find volume of a right cylinder. I will draw a picture to help me
visualize this problem.
7 in.
I know that the height is 5 inches and
the radius is 7 inches.
5 in.
I cannot remember how to find volume,
So the first place to look is on the
Grade 8 AIMS Reference Sheet.
I look under the section labeled
Geometric Solids and I find Right
Cylinder. It gives me the notations
and the formula for volume.
Since I know the values for r and for h,
I can substitute those into the formula.
r = 7 inches and h = 5 inches
V =
V =
(7)
(5)
2
V =
(49)(5)
V =
245
My answer is 245 . I will leave it with
since the question asks me in terms of . If I needed to
know a value for , I would look at the reference sheet or it would tell me what to use in the
problem.
I started with inches, but since I found volume, my inches become cubic inches, which is standard
for finding volume. So, 245 cubic inches is answer choice D.
Arizona Department of Education
26
Grade 8
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