Total surface area of aright circular cylinder is 1848 cm². The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is:(Take $\pi = \frac{22}{7}$)

4312 cm²

We know that,

Total surface area of cylinder = 2πr(r + h)

Curved surface area of cylinder = 2πrh

and Volume of cylinder = πr²h

We have, 2πr(r + h) = 1848

\(\frac{ 2πr(r + h)}{ 2πrh }\) = \(\frac{3}{1}\)

= r + h = 3h

= 2h = r

= h = \(\frac{r}{2}\)

Put it in the total surface area formula,

= 2 × \(\frac{22}{7}\) × r × (r + \(\frac{r}{2}\)) = 1848

= 2 × \(\frac{22}{7}\) × r × \(\frac{3r}{2}\) = 1848

= r² = 7 × 7 × 4

= r = 14

= h = \(\frac{14}{2}\) = 7 cm

= Volume of cylinder = \(\frac{22}{7}\) × 14 × 14 × 7 = 4312 cm³