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A tank has the shape of an inverted right circular cone with height 9m and radius 19m. It is filled with 8m of hot chocolate. Assume that the density of the hot chocolate is 1490kg/m3 and g=9.8m/s2. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank

A tank has the shape of an inverted right circular cone with height 9m and radius 19m. It is filled with 8m of hot chocolate. Assume that the density of the hot chocolate is 1490kg/m3 and g=9.8m/s2. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank

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A tank has the shape of an inverted right circular cone with height 9m and radius 19m. It is filled with 8m of hot chocolate. Assume that the density of the hot chocolate is 1490kg/m3 and g=9.8m/s2.

Find the work required to empty the tank by pumping the hot chocolate over the top of the tank

Expert Solution
Given that
  • The radius of the right circular cone a =19 m.
  • The height of the right circular cone b =9 m.
  • The density of the hot chocolate ρ=1490 kg/m3.

Standard Value:

  • The Gravity g=9.8 m/s2.
  • The value of π=3.14.
Step 1

The radius of the chocolate surface r=ab×h.

Where h is the height of the top liquid surface.

So r=199h m.

Calculate the volume of the liquid tank,

 V=13×π×r2×h.

Substitute the values in the above equation,

V=13×3.14×199h m2×h mV=4.664×h3 m3

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