Question

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.

Answer #1

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 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.

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 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 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 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.

Suppose Aaron is pumping water into tank, shaped like an
inverted circular cone, at a rate of 1600ft^3/min. If the altitude
of the cone is 10ft and the radius of the base of the cone is 5ft,
find the rate at which the radius of the liquid is changing when
the height of the liquid is 7ft.

(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...

1
C. A reservoir in the shape of a straight circular cone is filled
with water. If the tank height is 10 feet and the radius at the top
is 6 feet, find the job done by pumping the water to the top edge
of the tank. Find the work done by bobbing the water to a height of
10 feet above the top edge of the reservoir. Remember that the
volume is equal to radio2x height. The density of...

A tank in the shape of a right circular cylinder, with a height
of 15m and a radius of 8m, is full of gasoline. How much work is
required to pump all the gasoline over the top of the tank (density
of gasoline: ρ = 720kg/m3 and acceleration due to gravity g =
9.8m/s2 ).

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