SOLUTION: 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

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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
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2Ar%5E2%2Ah
V = pi%2A10%5E2%2A15
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%2A10%5E2%2Ah = 5612.4
h = 5612.4%2F%28%28100pi%29%29
h = 17.8647 cm is the height
:
;
Check this by finding the vol of the water between 17.8647 - 15 = 2.8647cm
V = pi%2A10%5E2%2A2.8647
V = 899.97 ~ 900, the vol of the sphere