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.

asked by josh

9 years ago

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I'd integrate from -a to a

answered by Steve

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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.

Steve · Answer

I'd integrate from -a to a