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Q.

Find the volume of cylinder, the diameter of whose base is 7 cm   and height being 60 cm  . Also, find the capacity of the cylinder in liters.


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a

Volume= 7350c m 3  , Capacity=3.675 liters

b

Volume= 1217c m 3  , Capacity=8.234 liters

c

Volume= 2310c m 3  , Capacity=2.310 liters

d

Volume= 2220c m 3  , Capacity=4.342 liters 

answer is C.

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Detailed Solution

It is given cylinder of diameter of base 7 cm and height 60 cm.
Since, Radius = Diameter 2   So, radius (r) = 7 2   cm
Volume of cylinder = π r 2 h   Volume of cylinder = 22 7 × 7 2 2 ×60  
Volume of cylinder = 22 7 × 7 2 × 7 2 ×60  
Volume of cylinder =2310   c m 3  
Since, the volume of a cylinder is 2310c m 3  .
As, 1c m 3 = 1 1000000 m 3  
So, the capacity of the cylinder in m 3   is,
2310c m 3 = 2310 1000000 m 3   Now, 1 m 3 =1000l  
So, capacity of cylinder in liters is,
Capacity= 2310 1000000 ×1000 ⇒Capacity= 2310 1000 ⇒Capacity=2.310l   Therefore, the volume of the cylinder is 2310c m 3   and the capacity of the cylinder is 2.310 liters.
Hence option (3) is correct.
 
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