Question

A glass has circular cross sections that taper​ (linearly) from a radius of 7 cm at the top of the glass to a radius of 6 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 6 cm above the top of the​ glass? Use 1000 kg/m3 for the density of orange juice and 9.8 m/s2 for the acceleration due to gravity

I need the cross sectional area of a horizontal slice, set up of the integral and the final answer

Answer 1