SOLUTION: a metal sphere with a volume of 900cm cubed is placed in a cylinder with a radius of 10cm containing a depth of 15cm of water. what is the height that the water level rises in cm?

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Question 921525: a metal sphere with a volume of 900cm cubed is placed in a cylinder with a radius of 10cm containing a depth of 15cm of water. what is the height that the water level rises in cm?
Answer by lwsshak3(11628) About Me  (Show Source):
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a metal sphere with a volume of 900cm cubed is placed in a cylinder with a radius of 10cm containing a depth of 15cm of water. what is the height that the water level rises in cm?
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r=radius of cylinder
letv=original volume of water in cylinder
let h=height of water level in cylinder
volume of water in cylinder=cross-section area of cylinder*depth of water
v=πr^2*h=π*100*15=1500π cm^3
new volume=1500π+900
h=(1500π+900)/πr^2=(1500π+900)/100π=(15+9/π)=17.86
what is the height that the water level rises in cm? 17.86