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Q.

Which of the subsequent indicates the lateral surface area of a cylinder?


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a

π r 2 h  

b

πrh  

c

2πrh  

d

2π r 2   

answer is C.

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Detailed Solution

We have given a cylinder.
We know that the total surface area of a cylinder is,
TSA=2πrh+2π r 2 .  
Here, the radius of the base of the cylinder is r and h is the cylinder's height.
Construct a right circular cylinder as shown:
Question Image Calculate the lateral surface area as shown:
  LSA=TSAAreaoftopandbase =2πrh+2π r 2 π r 2 +π r 2 =2πrh+2π r 2 2π r 2 =2πrh  
Therefore the lateral surface area is 2πrh.  
Hence, option (3) is correct.
 
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