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Question

Pavan built a conical flask using 550 m2 of aluminium sheet. If the radius of the flask is 7 m, then how much water can he fill into the flask (in litres)?
(The bottom of flask was made out of some other material.)



Your Answer
A

1232 l

Correct Answer
B

1232000 l

Your Answer
C

123200 l

Your Answer
D

1.232 l


Solution

The correct option is B

1232000 l


Let 'r', 'h' and 'l' be the radius, height and slant height of the conical flask respectively.
Note that,
the area of aluminium sheet = Curved surface area of the flask

 550 m2=πrl

 550 m2=227×7×l 

l=25 m 

Then, h=(l2r2)

h=25272

h=24 m

Volume of conical flask

=13 πr2h

=13×227×72×24

=1232 m3 

We know that 1 m3=1000 l 

So, volume in litres =1232000 l

Therefore, Pavan can fill 1232000 litres of water into the conical flask.

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