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# 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.