Question 903160
A cylindrical tank 4.92 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.
 what is the diameter of the diving bell?
:
let r = the radius of the diving bell
:
Find the volume of water required to raise the level in the cylinder 1 meter
{{{V = pi*4.92^2*1}}}
V = 76.04665 cu/m
:
Find the radius of sphere that has a volume of 76.04665

{{{4/3}}}*{{{pi*r^3}}} = 76.04665
multiply both sides by 3
{{{4*pi*r^3}}} = 228.14
{{{r^3}}} = {{{228.14/(4*pi)}}}
r^3 = 18.154
find the cube root of both sides
r = {{{3sqrt(18.154)}}}
r = 2.63 m, the radius of the sphere