Use calculus to find the volume of a cap of a sphere with height hh and radius rr.

To set up the integral in sphericals, just draw a picture. The limit in θ is determined by

Therefore, the volume of the cap is the integral

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w