Question 730292
 A cylinder of radius of 10cm.
 It already contains water to depth of 15cm.
 A metal sphere with volume 900cm^3 is placed in the water.
 Calculate the height that the water level rises
:
Find the vol of water in the cylinder
V = {{{pi*r^2*h}}}
V = {{{pi*10^2*15}}}
V = 4712.4 cu/cm of water
:
Find the total volume of the water and the sphere
4712.4 + 900 = 5612.4 cu/cm
:
Find the height (h) of the water when displaced by the sphere
{{{pi*10^2*h}}} = 5612.4
h = {{{5612.4/((100pi))}}}
h = 17.8647 cm is the height
:
;
Check this by finding the vol of the water between 17.8647 - 15 = 2.8647cm
V = {{{pi*10^2*2.8647}}}
V = 899.97 ~ 900, the vol of the sphere