A large cylindrical vessel contains water to a height of 10 m. It is found that the thrust acting on the curved surface is equal to that at the bottom. If atmospheric pressure can support a water column of 10 m, the radius of the vessel is
(a) 10 m (b) 15 m (c) 5 m (d) 25 m
Correct option (b) 15 m
Explanation:
Thrust on the curved surface 2πRh (P0 + h/2) = 300πR here as the thrust on the bottom = πR2h(P0 + h/2) = 20πR2. The atmospheric pressure in terms of column of water is 10 m. equating the two thrusts gives R = 15 m