the water for a factory is stored in a hemispherical tank of internal diameter 14m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill its capacity.find the volume of water pumped into the tank
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Diameter of the hemispherical tank=14m
Radius of the tank=14/2=7m
Total Volume of the tank=2/3πr3
=2/3×22/7×7×7×7
=718.666m3
=718666L
Amount of water already in the tank=50kL
=50/1000L
=0.05 L
Volume of water to be pumped into the tank=
Total volume of tank-Amount of water already in the tank=718666L -0.05L
=718665.95L
Answered in Detail:-
Diameter of the hemispherical tank=14m
Radius of the tank=14/2=7m
Total Volume of the tank=2/3πr3
=2/3×22/7×7×7×7
=718.666m3
=718666L
Amount of water already in the tank=50kL
=50/1000L
=0.05 L
Volume of water to be pumped into the tank=
Total volume of tank-Amount of water already in the tank=718666L -0.05L
=718665.95L
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