Pavan built a conical flask using 550 m2 of aluminium sheet. If the ra

Question

Pavan built a conical flask using 550

m^{2}

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.]

Options:

A . 1232 litres

B . 1232000 litres

C . 12300 litres

D . 123 litres

Answer: Option B
:
B
Thearea of aluminium sheet = Curved surface area of flask

\Rightarrow 550 m^{2} = π r l

\Rightarrow 550 = \frac{22}{7} \times 7 \times l

\Rightarrow 550 = 22 l

\Rightarrow l = 25 m

Now, height of flask

\Rightarrow h = \sqrt{(l^{2} - r^{2})}

\Rightarrow h = \sqrt{25^{2} - 7^{2}}

\Rightarrow h = 24 m

Hence, the volume of conical flask

= \frac{1}{3}

π

r^{2} h

= \frac{1}{3} \times \frac{22}{7} \times 7^{2} \times 24

= 1232 m^{3}

We know that 1 m

^{3} = 1000 l i t r e s

So, volume in litres

= 1232000 l i t r e s

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