Question

A water tank has the shape of an inverted cone with a height of 6 meters and a radius of 4 meters. The tank is not completely full; at its deepest point, the water is 5 meters deep.

How much work is required to pump out the water? Assume the water is pumped out to the level of the top of the tank.

Answer #1

A tank in the shape of an inverted right circular cone has
height 6 meters and radius 2 meters. It is filled with 5 meters of
hot chocolate. Find the work required to empty the tank by pumping
the hot chocolate over the top of the tank. The density of hot
chocolate is \delta = 1090kg/m^3 Your answer must include the
correct units.

(Integration Application) A water tank is shaped like an
inverted cone with a height 2 meters and top radius 6 meters is
full of water. Set up a Riemann Sum and an Integral to model the
work that is required to pump the water to the level of the top of
the tank? No need to integrate here. (Note that density of water is
1000 kg/m3 ).
RIEMANN SUM ______________________________________________
INTEGRAL____________________________________________________
Provide an explanation as to the difference of the...

A tank in the shape of an inverted right circular cone has
height 7 meters and radius 3 meters. It is filled with 6 meters of
hot chocolate. Find the work required to empty the tank by pumping
the hot chocolate over the top of the tank. The density of hot
chocolate is δ=1080 kg/m^3. Your answer must include the correct
units.

A tank in the shape of an inverted right circular cone has
height 88 meters and radius 1616 meters. It is filled with 22
meters of hot chocolate.
Find the work required to empty the tank by pumping the hot
chocolate over the top of the tank. Note: the density of hot
chocolate is δ=1450kg/m3

A tank in the shape of an inverted right circular cone has
height 9 meters and radius 13 meters. It is filled with 3 meters of
hot chocolate.
Find the work required to empty the tank by pumping the hot
chocolate over the top of the tank. Note: the density of hot
chocolate is δ=1480kg/m^3

A tank in the shape of an inverted right circular cone has
height 7 meters and radius 3 meters. It is filled with 6 meters of
hot chocolate. Find the work required to empty the tank by pumping
the hot chocolate over the top of the tank. The density of hot
chocolate is δ=1080 kg/m^3. Your answer must include the correct
units.
NOTE: 112174.092J is incorrect?

A tank in the shape of an inverted cone 12 feet tall and 2 feet
in radius is full of water. Calculate the work W required to pump
all the water to a height of 1 foot above the tank.

A tank in shape of an inverted right circular cone has height 10
m and radius 10 m. it is filled with 7 m of hot chocolate. Find the
work required to empty the tank by bumping the hot chocolate over
the top. density of chocolate equal 1510kg/m^3

A reservoir in the shape of an inverted cone is filled to the
top with water of density 62.4 lb/ft^3. The radius of the reservoir
is 35 ft and it is 40 ft deep.
What is the work (ft-lb) required in pumping all of the water to
a level of 15 ft above the top of the reservoir?
Possible Answers:
25480000π
12980931π
22098083π
30982856π
PLEASE SHOW DETAILED WORK CLEARLY!

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...

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