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Q.

Volume of a cylinder of base radius r and height h is:


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a

2πrh  

b

π r 2 h  

c

2πr(h+r)  

d

1 3 π r 2 h  . 

answer is B.

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Detailed Solution

The given solid figure is a cylinder.
A cylinder is just a circle extruded into the third dimension through a height. Since volume is area times length, so we need the area of a circle ( π r 2  ) and the height h.
So, volume of cylinder =π r 2 h  , where r=   radius of the cylinder, h=   height of the cylinder.
Therefore, the volume of cylinder of base radius r and height h is π r 2 h  .
Hence, the correct option is 2.
 
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Volume of a cylinder of base radius r and height h is: