Given, an inverted cone is 2 m high and has a base radius of m. If the tank is full, then how much work is required to pump the water to a level 1 m above the top of the tank.
Step 2: Concept Used
If force is a function F(x) of position x then in moving from x = a to x = b work done is
Step 3: Calculation
Consider the water tank conical in shape. We will make a small horizontal section of the water at depth h and thickness dh and also assume radius at depth h is w.
From similarity, we will get
The weight of the slice under consideration is
Now by definition the work done is
Hence work done is .