Question

A conical container of radius 10 ft and height 40 ft is filled to a height of 36 ft of a liquid weighing 60.6 lb divided by ft cubed. How much work will it take to pump the contents to the​ rim? How much work will it take to pump the liquid to a level of 4 ft above the​ cone's rim?

Answer 1

To calculate the work required to pump the liquid to the rim of the conical container, you need to calculate the force applied to the liquid and then multiply it by the distance the liquid needs to be lifted.

Step-by-step explanation:

To calculate the work required to pump the liquid to the rim of the conical container, we can use the formula for the work done by a pumping or lifting system: Work = Force x Distance.

First, we need to calculate the force applied to the liquid. This can be found using the formula for pressure: Force = Pressure x Area.

Since the liquid is in a conical container, the pressure at the bottom will be the same as the pressure at the rim, which is atmospheric pressure. The area at the bottom can be found using the formula for the area of a circle: Area = π x Radius^2.

Once we have the force, we can calculate the work done by multiplying it by the distance the liquid needs to be lifted.