Question

A Social Welfare Association decides to supply
drinking water for the flood affected people
the drinking water is filled in a water tanker
which is in the shape of a cylinder with
hemispherical ead as shown in fig the
Whole length of the tank is 4.2 Metore and
diameter of base of the cylinder and two bemi-
-spheres are each 1-2m . If they distribute
drinking water to 60 people in a container
each is in the shape of cylinder radius 21 cm
and beight som find the quantity of water
left in the tanker after distribution in
litre. ​

Answer 1

vol of tank= vol of cylinder + vol of 2 hemisphere

convert this answer into cm3

vol of glass= vol of cylinder× 60

tAke vol of tank as eq 1 and vol of glass eq2

subtract 1 & 2

divide the answer by 1000

then answer will be 141.42 l

Answer 2

Step 1:

The length of the water tank = 4.2 m

The diameter of the base of the cylinder and the two hemispherical ends,

d = 1.2 m

So, the radius, r = d/2 = 1.2/2 = 0.6 m

∴ The length of the cylindrical portion of the tank, h = 4.2 - 1.2 = 3 m

Now,

The volume of the cylindrical portion is,

= πr²h

= × 0.6² × 3

= 3.39 m³

and

The volume of the 2 hemispherical ends is,

= 2 × [ πr³]

= × × 0.6³

= 0.905 m³

∴ The volume of the drinking water tank is given by,

= [ volume of the cylindrical portion] + [volume of the 2 hemispherical ends]

= 3.39 m³ + 0.905 m³

= 4.295 m³

Step 2:

The dimension of the small cylindrical containers:

Radius, r = 21 cm = 0.21 m

Height, h = 50 cm = 0.5 m

The no. of people to whom the drinking water was distributed in cylindrical containers = 60

∴ The volume of water distributed to 60 people is given by,

= 60 * [Volume of the cylindrical containers]

= 60 * [πr²h]

= 60 * (22/7) * 0.21² * 0.5

= 4.158 m³

Step 3:

Therefore,

The quantity of water left in the tanker after the distribution is given by,

= [volume of the drinking water tank] – [volume of water distributed to 60 people]

= 4.295 m³ - 4.158 m³

= 0.137 m³

∵ 1 m³ = 1000 litres

= 137 litres