A tank in the shape of an inverted right circular cone has height 4 meters and radius 2 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. The density of hot chocolate is δ=1020 kg/m3.δ=1020 kg/m3. Your answer must include the correct units.
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Answer:
The required work to empty the the tank is 247401 J.
Explanation:
Given that,
A tank is in the shape of right circular cone.
The radius of the tank= 2 m
The height of the tank = 4 m
The relation between the radius and the height is
Let h be the height of hot of chocolate any time t.
The volume of a cone is
The volume of the chocolate is
The mass of the chocolate is(M)= Density × Volume
Work done = Force × displacement
= Mass × acceleration×displacement
Here acceleration= acceleration due to gravity = 9.8 m/s²
The displacement when the hot chocolate level is h is = (4-h)
Work done (dw)

Work done = W
=247401 J
The required work to empty the the tank is 247401 J.