The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 \({cm}^{3}\) = 1 L)

Given :
Height (h) of vessel = 25 cm
Circumference of vessel = 132 cm

Let the radius Of the cylindrical vessel be r.

\(\Rightarrow \) \(2{\pi}r = 132 cm\)
\(\Rightarrow \) \(2 × \frac{22}{7} × r = 132 cm\)
\(\Rightarrow \) \(r = \frac{132 × 7}{2 × 22} cm\)
\(\Rightarrow \) \(r = 21 cm\)

We know that,
Volume of cylindrical vessel
\(= {\pi} {r}^2 h\)
\(= \frac{22}{7} × {21}^2 × 25\) \({cm}^{3}\)
= 34650 \({cm}^{3}\)
\(\therefore \) \(\frac{34650}{1000} L = 34.65 L\)

Therefore, such vessel can hold 34.65 litres Of water.