Volume of a Cylinder Practice
Question 2
Given a cylinder with a volume of 502.4 in
3
and radius 4 in. Find the height of the cylinder. Take
π
as 3.14.
Answer
Select and check your answer...
A. 10 in
3
B. 10 in
C. 5 in
3
D. 5 in
Check Answer
Step by Step Solution
Step 1
The picture below shows the cylinder with the radius 4 inches and height h.
Step 2
Since the value of the volume and radius are given, we substitute
V
with
64
,
r
with 4 and
π
with 3.14 into the formula as shown:
Step 3
Now, we have
502.4 = 50.24
h
. We can find h by dividing both sides of the equation by
50.24
. This is shown below:
Step 4
Now, the calculated number 10, has no meaning until we include the unit for it. Since radius is in unit inch, the unit for
h
will be inch. Hence:
h
= 10 in
Step 5
Therefore, the answer is B.
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