Question

A social welfare association decides to supply drinking water for the flood affected people the drinking water is filled in water tanker which is in the shape of cylinder with hemispherical end is shown in figure the whole length of the timber is 4.2 metre and the diameter of base of the cylinder and two hemispherical 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 is 50 cm find the quantity of water left in the tanker after distribution an litre π=22/7

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Answer 1

Answer:208litres

Step-by-step explanation:

Answer 2

Quantity of water  left in the tank = 141.3 liters

Step-by-step explanation:

Total height of the  tank = 4.2 m = 420 cm

diameter of base of the cylinder and two hemispheres  = 1.2 m = 120 cm

volume of tank = volume of cylinder + volume of 2 hemispheres

$\pi r^2 h + 2\times \frac{2}{3}\pi r ^3 \\\\\\pi r^2 h + \frac{4}{3}\pi r ^3\\\\\frac{22}{7}\times 0.6 \times 0.6 \times 3 + \frac{4}{3}\times \frac{22}{7} \times (0.6)^3\\\\3.3942 + 0.9051 \\\\4.2993$

let the radius of the container 1  be r1 = 21 cm = 0.21 m

height if the container h1 = 50 cm = 0.5 m

volume of 1 container

$\pi r_1^2 h_1 \\\\\frac{22}{7}\times 0.21 \times 0.21 \times 0.5 \\\\= 0.0693$

volume of 60 containers = 60× 0.0693 = 4.158 m ³

quantity of water  left in the tank = volume of tank - volume of 60 containers

since  1 m ³ = 1000 liters

quantity of water  left in the tank = 141.3 liters

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