Question 1080282
 a cone shaped water cup has an altitude of 10 cm and a radius at the top of 4 cm. The cup is filled with water and then poured into an empty cylinder that has an altitude of 32 cm and a radius of 3 cm. What is the depth of the water in the cylinder?
:
find the volume of the water in the cone
{{{V = (1/3)pi*4^2*10}}}
V = 167.55 cu/cm
:
let h = the height of the water in the cylinder
{{{pi*3^2*h}}} = 167.55
28.27h = 167.55
h = {{{167.55/28.27}}}
h = 5.9 cm is the depth of the water 
:
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Note: the altitude of the cylinder is not involved.