Question

A spherical tank of radius a feet is buried in the ground. The top of the tank lies b feet below the surface of the ground.(δ=64lbs/ft^3)Find a definite integral whose value equals total work done in emptying the tank through a pipe whose opening is at ground level. I have W=62.4π*int([-(a+a),0](a^2-y^2)(b-y)dy)
Not sure if the limits [-(a+a),0] are correct.

Answer 1

I'd integrate from -a to a