A cylindrical tank 4.66 m in diameter is placed with its axis vertical and is partially filled with water. A spherical diving bell is then completely immersed in the tank causing the water level to rise 1.00 m . find the diameter of the diving bell. Solution rise in water level=1 m so rise in volume covered with water=pi*(D^2/4)*h D=diameter of cylinder=4.66 h=1m so rise in volume covered with water=17.0554 rise in volume covered with water= volume of sphere=(1/6)*pi*d^3=17.0554 d= diamere of sphere d=3.1937 so daimeter of bell=3.1937.

1. A cylindrical tank 4.66 m in diameter is placed with its axis vertical and is partially filled with
water. A spherical diving bell is then completely immersed in the tank causing the water level to
rise 1.00 m . find the diameter of the diving bell.
Solution
rise in water level=1 m
so rise in volume covered with water=pi*(D^2/4)*h
D=diameter of cylinder=4.66
h=1m
so rise in volume covered with water=17.0554
rise in volume covered with water= volume of sphere=(1/6)*pi*d^3=17.0554
d= diamere of sphere
d=3.1937
so daimeter of bell=3.1937