SOLUTION: A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with base radius of 10 cm. If the
original cylinder has water in it that is 20 cm high, how
high
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Question 292354: A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with base radius of 10 cm. If the
original cylinder has water in it that is 20 cm high, how
high is the water after the sphere is placed in it?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with base radius of 10 cm.
If the original cylinder has water in it that is 20 cm high,
how high is the water after the sphere is placed in it?
:
Find the Vol of the sphere
v =
v = 4188.79 cu/cm
:
Find the vol of the water in the cylinder
v =
v = 6283.185
:
Find the total volume of the sphere and the water
4188.79 + 6283.185 = 10471.975 ~ 10472 cu/cm
:
Find the height (h) of the water when the sphere is in there
= 10472
h =
h = 33.33 cm
:
:
Check this
The sphere raised the level 13.33 cm
Find the vol of that in the cylinder
~ 4188 which is about the value of vol of the sphere
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