Question

The radius and height of a cylindrical water reservoir is 2.8 m and 3.5 m respectively. How much maximum water can the tank hold? A person needs 70 litre of water per day. For how many persons is the water sufficient for a day? [ = 22 7 ], (1m3 = 1000litre)

Answer 1

ANSWER :

★The tank can hold 86,240 L water.

★1,232 persons are needed the sufficient water for a day.

EXPLANATION :

GIVEN :-

• The radius and height of a cylindrical water reservoir is 2.8 m and 3.5 m respectively.
• A person needs 70 litre of water per day.

TO FIND :-

• How much maximum water can the tank hold?
• For how many persons is the water sufficient for a day?

SOLUTION :-

✪ CASE 1✪

Radius of the cylindrical water reservoir= 2.8 m.

Height of the cylindrical water reservoir= 3.5 m.

Formula Used :-

${\boxed{\sf{Volume\: of\: cylinder=\pi\:r^2h}}}$

$\sf{Volume\:of\: cylinder=Volume\:of\:water}$

Volume of water = πr²h

$\implies\sf{Volume\:of\:water=\frac{22}{7}\times\:2.8\times\:2.8\times\:3.5\:m^3}$

$\implies\sf{Volume\:of\: water=86.24\:m^3}$

$\implies\sf{Volume\:of\: water=86,240\:L}$

Therefore, the tank can hold 86,240 L water.

__________________________

✪ CASE 2 ✪

A person needs 70 L of water per day.

$\sf{70\:L\:of\:water\:is\: needed\:for=1\: person}$

$\sf{86,240\:L\:of\: water\:is\: needed= 1232\: persons}$

Therefore , 1,232 persons are needed the sufficient water for a day.

____________________________

Answer 2

$\large{\underline{\red{\rm{AnswEr:1232\:\:86240\: litres}}}}$

$\huge\bold\orange{\underline{Solution:}}$

$\bold\green{\underline{Given:}}$

The radius of cyclinder=2.8m

The height of cyclindir=3.5m

A person needs 70 litres per day

1m³=1000 litres and π=22/7

$\bold\purple{\underline{Find:}}$

• How much quantity of water can water tank hold
• How many people is the sufficient for a day

$\bold\green{\underline{A.T.Q}}$

• Formula using here

$\bold\red{\boxed{Volume\:of\:water\:tank=\pi\:r^2\:h}}$

$\rm\\ \\ \implies Volume_w_a_t_e_r\:_t_a_n_k =\frac{22}{7}*2.8^2*3.5\\ \\ \implies Volume_w_a_t_e_r\:_t_a_n_k=22*0.2*2.8*3.5\\ \\ \implies Volume_w_a_t_e_r\:_t_a_n_k=86.24\:m^3 \\ \\ \implies The\:quantity\:of\:water=86.24*1000\\ \implies The\: quantity\:of\:water=86240\: litres$

Hence,

The number of person=86240/70=1232

The total quantity of water=86240 L