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 ends . the whole length of the tanker is 4.2 m and the diameter of base of the cylinder and two hemispheres are each 1.2 m if they distribute drinking water to 60 people in a container each is in the shape of a cylinder of radius 21 cm and height 50 cm find the quantity f water left in the tanker after distribution in litre

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The quantity of water left in the tanker after distribution is 1,499 liter

Step-by-step explanation:

The quantity of water left in the tanker after distribution= Total quantity - Distributed quantity

Total quantity = Volume of the giving figure  = Volume of the cylinder + volume of 2 hemispheres

Volume of the cylinder of 4.2 m length and 1.2 m of a diameter.

Volume of cylinder = π r² L

= $\frac{22}{7} \times 0.6^2 \times 4.2$

= 4.752 m³

Volume of 2 hemispheres = 2×0.5 ×(4/3) π r³

= $\frac{4}{3} \times \frac{22}{7} \times 0.6$

=$\frac{792}{875}$ m³

Total volume = 4.752 + 792/875 =  5.657 m³

Distributed quantity = 60 times the volume of a cylinder of radius 21 cm and height is 50 cm

Distributed quantity = 60 × π r² L

= $60 \times\frac{22}{7} \times 21^2 \times 50$

= 4,158,000 cm³

Since 1 m³= 1,000,000 cm³

Distributed quantity = 4,158,000 cm³ = 4.158 m³

The quantity of water left in the tanker after distribution =

 = 198/35 - 4.158 = 1.499 m³

Since 1 m³= 1,000 liter

The quantity of water left in the tanker after distribution =

=  1.499 m³ = 1.499 × 1000 = 1,499 liter

hence , The quantity of water left in the tanker after distribution is 1,499 liter

#Learn more :

The figures shown below are made of cube of volume one cubic centi metre .find and explain the volume of the figure

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