Calculus 2- Water pump problem 1. The problem statement, all variables and given/known data The lower half of a sphere with radius 2m is filled with water. Find the work needed to pump the water to a point 1m above the centre of the sphere. 2. Relevant equations 3. The attempt at a solution I know you have to cut the problem into small pieces, and you have to label a "x" anywhere you want but you have to solve the problem based on which part you label the x (see attachment). But I have no idea where to label the x and how to get the integral with that information. And also what is the limits I put in the definite integral? I know it has to do with the x you choose but how to know which limit to use?