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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A. 251.2 cm2
B. 251.2 cm3
C. 628 cm2
D. 628 cm3
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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)28
                  = (3.14)(25)(8)        
= 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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