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Q.

In the following table information about a few cylinders are given, copy and complete the table.


Radius(cm)

Height(cm)

Curved surface

Area of base

Total surface

7

9

[[1]]

[[2]]

[[3]]


see full answer

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Detailed Solution

We have given the radius of the cylinders which are 7, 14, and 21 in cm and height of cylinder are 9, 10, and 5 in cm.
First, we will solve for the cylinder having radius 7 cm and height 9cm.
Curved surface area of this cylinder =2πrh  
Curved surface area of this cylinder =2×π×7×9  
Curved surface area of this cylinder  =396c m 2  .
Now, we will find the area of the base of the cylinder which is equal to  π r 2  .
Surface area of base of cylinder  =π (7) 2  
Surface area of base of cylinder =154c m 2  
Now we will find the total surface area which is equal to  2πr r+h  .
Total surface area =2π×7 7+9  
Total surface area =2×3.14×7 16  
Total surface area =704c m 2  
So, the total surface area of the cylinder having radius 7 cm and height 9cm is  =704c m 2   .

Radius(cm)

Height(cm)

Curved surface(in cm 2  )

Area of base(in cm 2  )

Total surface(in cm 2  )

7

9

396

154

704

 
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