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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 be filled in the flask(in litres)? [The bottom of the flask is of another material.]


A

123 litres

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B

12300 litres

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C

1232000 litres

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D

1232 litres

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Solution

The correct option is C

1232000 litres


The area of aluminium sheet = Curved surface area of flask
550 m2=πrl
550=227×7×l
550=22l
l=25 m

Now, height of flask
h=(l2r2)
h=25272
h=24 m

Hence, the volume of conical flask
=13 πr2h
=13×227×72× 24
=1232 m3

We know that 1 m 3=1000 litres

So, volume in litres =1232000 litres


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