SOLUTION: A bucket full of water is in the form of a frustum of a cone .the button and top radii of the frustum are 18cm and 28cm representivly and the vertical depth is 30cm if the water in

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Question 1175518: A bucket full of water is in the form of a frustum of a cone .the button and top radii of the frustum are 18cm and 28cm representivly and the vertical depth is 30cm if the water in the bucket is then poured into an empty cylindrical container with base radiou 20cm find the depth of water in the container

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A bucket full of water is in the form of a frustum of a cone .
the bottom and top radii of the frustum are 18cm and 28cm respectively and the vertical depth is 30cm if the water in the bucket is then poured into an empty cylindrical container with base radius 20cm
find the depth of water in the container
:
The volume of a frustrum: V = 1.0472h(R^2 + Rr + r^2)
Note: 1.0472 is pi/3
where
h = 30 cm
R = 28
r = 18
:
V = 1.0472*30(28^2 + 28*18 + 18^2)
V = 31.416(784 + 504 + 324)
V = 31.416(1612)
V = 50,642.6 cu/cm
:
In a cylinder, find the height
pi%2A20%5E2%2Ah+=+50642.6
h = 50642.6%2F%28%28pi%2A20%5E2%29%29
h = 40.3 cm, height of water in the cylinder