A spherical tank with diameter 10 feet is filled halfway wit
A spherical tank with diameter 10 feet is filled half-way with water.  How much work is done emptying the tank from the top?
Solution
10 feet = 3.048 meter
Here Work Done = Change in Gravitational Potential Energy
Here Mass of water = (2/3)**(0.5*3.048)^3*1000
= 7413.333 Kg
Also Cnter of mass of the Hemisphere is (3/8)R
= (3/8)*(0.5*3.048)
= 0.5715 m from the Lower base
Final Center of mass from the Lower Base = (3.048 - 0.5715)
= 2.4765 m
Therefore
Wrok Done = mg(h2 - h1)
= 7413.333*9.8*(2.4765 - 0.5715)
= 138399.514 J

