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Hemisphere
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Hemisphere
A Hemisphere is a half of a sphere or in other words we can say, a sphere can be divided into two equal hemispheres by a plane that passes through its center.
Volume of Hemisphere: (2/3)r3
Curved Surface Area (CSA) of Hemisphere: 2r2
Total Surface Area (TSA) of Hemisphere: 3r2
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Example: A hemispherical tank of radius 1.5 m is full of water. It is connected with a pipe which empties it at the rate of 10 litres per second. How much time will it take to empty the tank completely?
Solution: Suppose the pipe takes x seconds to empty the tank.
Then, Volume of the water that flows out of the tank in x seconds = Volume of the hemi-spherical tank.
Volume of the water that flows out of the tank x seconds
Volume of the hemi-spherical shell of radius 150 cm,
10000 x= 2/3 x 22/7 x 150 x 150 x 150
x = 2/3 x 22/7 x (150 x 150 x 150)/ 10000
x = 707.14 seconds
x = 707.14/60 = 11.78 minutes
 
   
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