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Q.

Find the height of the cylinder whose volume is 1.54 m 3  and diameter of the base is 140 cm.


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a

1 m

b

2 m

c

0.5 m

d

0.6 m 

answer is A.

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Detailed Solution

It is given height of the cylinder whose volume is 1.54 m 3  and diameter of the base is 140 cm.
Volume of a cylinder =π r 2 h  
Radius (r)  of the cylinder is,
⇒r= 140 2 cm  ⇒r= 70cm  
Convert Radius ( r  ) to meters,
⇒r= 70 100 m ⇒r= 7 10 m  
Height h of the cylinder is,
Substitute value of radius r and volume in the formula,
Volume of a cylinder is;
⇒V=π r 2 h ⇒1.54= 22 7 × 7 10 × 7 10 ×h ⇒h= 1.54×100 22×7 ⇒h= 154 154 ⇒h=1 m  
Therefore, height h of the cylinder = 1 m.
Hence option (1) is correct.
 
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