1
81-E
cylinder and two hemispheres are cach 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 of water left in the tanker
after distribution in litre. (-22
1-2 mif the length is 4.2 metres
Answers
Given : A water container cylindrical with two hemispherical ends . to distribute Drinking water for 6o people
To find : Water left in Tank
Solution:
Length of Tanker is 4.2 m
Radius of base of cylinder = hemisphere = 1.2/2 = 0.6 m
Length of each hemisphere = 0.6 m
Length of cylindrical part = 4.2 - 0.6 - 0.6 = 3 m
Volume of Cylinder = π r²h
= π (0.6)² * 3 m³
Volume of two hemisphere = 2 * (2/3)π r³
= (4/3) π (0.6)³
= 0.8 π (0.6)² m³
Total Volume = 3.8 π (0.6)² m³
= 1.368 π m³
Volume of one container = π (21/100)² * (50/100) m³
= π (.21)² / 2 m³
Volume of 60 container = 60 * π (.21)² / 2 m³
= 30 π (.21)² m³
= 1.323 π m³
Water left in Tank = 1.368 π - 1.323 π = 0.045 π m³
= 0.045 π m³
= 0.141 m³
1 m³ = 1000 litre
=> 0.141 m³ = 141 Litre
141 litre water left in Tank
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