The curved surface area of a cylinder is 25344 cm$$^2$$ and its height is 32 cm. What is the volume of a cylinder whose capacity is $$\frac{\pi}{792}$$ times the volume of the given cylinder?

The curved surface area of a cylinder is 25344 cm$$^2$$.

$$2  \pi r h = 25344$$ => r = $$\frac{25344 \times 7}{2 \times 22} $$=126 cm

Volume would be = $$\pi r^2 h$$ = $$ \frac{22}{7} \times 126 \times 126 \times 32$$ 

 The volume of a cylinder whose capacity is $$\frac{\pi}{792}$$

= $$\frac{\pi}{792} \times $$ $$ \frac{22}{7} \times 126 \times 126 \times 32$$ = 6336 $$cm^3$$

So, the answer would be option b)6336 $$cm^3$$.