Question

Pavan built a conical flask using 550$m^2$ of aluminium sheet. If the radius of the flask is 7m, then how much water can he fill into the flask?

• A. $1232m^3$
• B. $123.2m^3$
• C. $1.232m^3$
• D. $12.32m^3$

Answer 1

The correct option is A $1232m^3$

Since, the area of aluminium sheet = Curved surface area of flask
$\Rightarrow 550m^2=\pi rl$

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

$\Rightarrow l=25m$

From the relation $l^2=h^2+r^2$

$h=\sqrt{(l^2-r^2)}$
$\Rightarrow h=\sqrt{{25}^2-7^2}$
$\Rightarrow h=24m$
Volume of conical flask = $\frac{1}{3}$ $\pi$$r^{2}h$
$=\frac{1}{3}\times \frac{22}{7}\times 7^2\times 24$
$=1232m^3$