Correct Answer: 1.53 litres

Solution : Let $r$ be the radius and $h$ be the height of the cylinder.
Given: $r = \frac{h}{2}$
The total surface area of the open cylinder = 616 sq cm.
We know that,
The total surface area of the open cylinder $=2\pi r h+\pi r^2$
$⇒ 616 = 2\pi r h+\pi r^2$
$⇒ 616 = \pi r(2h+r)$
Putting $r = \frac{h}{2}$, we get:
$⇒616 = \pi\times\frac{h}{2}(2h+\frac{h}{2})$
$⇒ 616 = \pi\times\frac{5h^2}{4}$
$⇒ h^2= \frac{616\times7\times4}{5\times22}$
$\therefore h=\frac{28}{\sqrt5}$
So, $r=\frac{h}{2}=\frac{\frac{28}{\sqrt5}}{2}=\frac{14}{\sqrt5}$
The volume of the cylinder
$=\pi r^2 h$
$=\frac{22}{7}×(\frac{14}{\sqrt5})^2×\frac{28}{\sqrt5}$
$=\frac{22}{7}×\frac{196}{5}×\frac{28}{2.23}$
$=1546.9$ cm ³ $\approx 1.53$ litres
Hence, the correct answer is 1.53 litres.