Volume of a Cylinder Practice

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Question 2

Given a cylinder with a volume of 502.4 in3 and radius 4 in. Find the height of the cylinder. Take π as 3.14.


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Select and check your answer...

A. 10 in3
B. 10 in
C. 5 in3
D. 5 in

Step by Step Solution

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    Step 1

    The picture below shows the cylinder with the radius 4 inches and height h.

    cylinder with the radius 4in and height h
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    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:

    Calculating the height of the cylinder
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    Step 3

    Now, we have 502.4 = 50.24h. We can find h by dividing both sides of the equation by 50.24. This is shown below:

    Finding the height of the cylinder
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    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
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    Step 5

    Therefore, the answer is B.