Question

A hemispherical bowl with a radius of 6 feet is full of water. If the density of water is 62.5 lb/ft^3 , how much work is required to pump all the water out of the outlet at the top of the tank?

Answer #1

A tank shaped like a cone pointing downward has height 9 feet
and base radius 3 feet, and is full of water. The weight density of
water is 62.4 lb/ft^3. Find the work required to pump all of the
water out over the top of the tank.

A hemispherical tank of water (radius 10 ft) is being pumped
out. Find the work done in lowering the water level from 2 feet
below the top of the tank to 4 feet below the tank given that the
pump is placed a) at the top of the tank and b) the pump is placed
3 feet above the top of the tank. Clearly indicate how force and
distance are represented and indicate where the 0 position is on
the...

A tank is full of water. Find the work required to pump the
water out of the spout. Use the fact that water weighs 62.5
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and c = 10 ft.)

Consider a hemispherical tank with a radius of 3 meters that is
resting upright on its curved side. Using 9.8 m/s^2 for the
acceleration due to gravity and 1,000 kg/m^3 as the density of
water, Set up the integral for the work required to pump the water
out of the tank if:
(a) the tank is full of water and it is being pumped out of a
1-meter long vertical spout at the top of the tank.
(b) the tank...

A thin hemispherical bowl of clear plastic floats on water in a
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directly below the bowl. The object is viewed from directly above
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a hemispherical bowl of radius 0.5m is filled with water of
density 997 kg/m^3. calculate the force exerted on the bowl.
the answer is 3840 N. but When I calculate it, I get 815 N.
What's wrong?

a circular cone shaped tank that is 10 feet high, is filled to
about 2 feet in height with lb/ft^3 density olive oil. How much
work is required to pump the oil to the edge of the tank

Consider the following container. It is a cut cone with a top
radius of 7 ft and a bottom radius of 3 ft. It has a height of 12
ft and water (density 62.5 lb/ft^3) is currently in the container
to a depth of 5 ft. There is a spout on this container at the
top.
Write down but DO NOT EVALUATE an integral to find the work
necessary to pump all the water in this container up out of...

an inverted right circular gasoline tank of radius 2 ft and
height 8ft is buried in the ground so that the circular top is 1 f
below the ground (parallel to the ground). Howw much work (in
ft-lbs) is required to pump the gasoline occupying the top foot of
the tank to aheight 2ft above the ground if the tank id full.
(ignore the water the ends in the hose from the pumping process
aftertop foot is done being pumped...

Calculate the work (in joules) required to pump all of the water
out of a full tank. The density of water is 1000 kilograms per
cubic meter. Assume the tank
(b) is shaped like a horizontal cylinder of radius R and height
H where the spout is connected directly to the top of the tank.

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