Two spherical tanks are connected as in the figure below. The first tank has the radius 1m and is on the ground. The bottom of the second tank is located 2m above the top of the first tank. The second tank has the radius 0.5m. Two tanks are connected by a tube of negligible width that is going through the top of the first tank and the bottom of the second tank. Let p > 0 be the density (in kg/m^3) of the liquid in both tanks. Find the work required to deliver the liquid to fill both tanks from the ground.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 34E
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Two spherical tanks are connected as in the
figure below. The first tank has the radius 1m
and is on the ground. The bottom of the
second tank is located 2m above the top of the
first tank. The second tank has the radius
0.5m. Two tanks are connected by a tube of
negligible width that is going through the top
of the first tank and the bottom of the second
tank. Let p > 0 be the density (in kg/m^3) of
the liquid in both tanks. Find the work required
to deliver the liquid to fill both tanks from the
ground.
2
Transcribed Image Text:Two spherical tanks are connected as in the figure below. The first tank has the radius 1m and is on the ground. The bottom of the second tank is located 2m above the top of the first tank. The second tank has the radius 0.5m. Two tanks are connected by a tube of negligible width that is going through the top of the first tank and the bottom of the second tank. Let p > 0 be the density (in kg/m^3) of the liquid in both tanks. Find the work required to deliver the liquid to fill both tanks from the ground. 2
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