Volume of a Cylinder Practice

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Question 1

Given a cylinder with the radius 5cm and height 8cm. Find the volume of this cylinder. Take π as 3.14.

Answer

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Select and check your answer...

A. 251.2 cm2
B. 251.2 cm3
C. 628 cm2
D. 628 cm3

Step by Step Solution

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    Step 1

    The picture below shows the cylinder with the radius 5cm and the height 8cm.

    cylinder with the radius 5cm and height 8cm
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    Step 2

    To calculate the volume, we can use the formula for the volume of the cylinder. Note that r is the radius and h is the height.

    V = πr2h
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    Step 3

    The values for r, h and π are given. So, we just substitute r with 5, h with 8 and π with 3.14.

    V = (3.14)(5)squared multiplied by 8. Ans: 628
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    Step 4

    Now, the calculated number 628 carries no meaning unless we include the unit for it. Since the radius and height are in cm, the unit for volume will be cm3. Hence:

    V = 628cm3
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    Step 5

    Clearly, the answer is D.

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