Question

Twocylindricaldispensers of the same size are fixed in a theatre. If the radius and height of each dispenser is 3.5m, find the quantity of water in that dispensers. How many people can drink the water, if each person is taking 275ml of water?

Answer 1

Answer :

The radius and height of each cylindrical dispenser is 3.5 m

We know Volume of cylinder = $\mathrm{\pi }{\mathrm{r}}^2\mathrm{h}$

Here Radius ( r ) = Height ( h ) = 3.5

Volume of a cylindrical dispenser = $\frac{22}{7}\times 3.5^2\times 3.5=\frac{22}{7}\times 3.5\times 3.5\times 3.5=22\times 0.5\times 3.5\times 3.5=\mathbf{134}\mathbf{.}\mathbf{75}\mathbf{}{\mathbf{m}}^{\mathbf{3}}$
So,
Volume of two cylindrical dispenser = $2\times 134.75\mathbf{}$ = 269.50 m³

We know 1 m³ = 1000 liter , So

269.50 m³ = 1000 $\times$ 269.50 = 269500 liter

We know 1 liter = 100 ml , So

269500 liter = 1000 $\times$ 269500 = 269500000 ml

If each person is taking 275 ml of water .

Total number of people can drink the water = $\frac{269500000}{275}$ = 980000 ( Ans )