social welfare association decides to supply drinking water for the flood affected people the drinking water is filled in a water tank which is in the shape of a cylinder with a hemisphere and as shown in the figure the whole length of the tank is 4.2 metre and diameter of the base of the cylinder and the two hemispheres are eat 1.2 metre if the distributor drinking water to 60 people in a container each is in the shape of a cylinder of radius 21 cm and height 15 cm find the quantity of water left in the tanker after distribution in litre
Answers
141 litre water left in Tank
Step-by-step explanation:
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
0.141 m³
1 m³ = 1000 litre
= 141 Litre
141 litre water left in Tank
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