Calculus WORK problem? PLEASE HELP?
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Answer:
If you call x the distance to the bottom,an an volume element is dV = pi*(2rx-x^2) *dx= pi*(24x-x^2)dx. Its mass is dM = 50*pi* (24x-x^2) and its weight dW =50*pi/32 (24x-x^2) The work is the integral between 0 and 24 of 50*pi/32(24x-x^2) dx in units of work You can perform the integral
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Other answers
If you call x the distance to the bottom,an an volume element is dV = pi*(2rx-x^2) *dx= pi*(24x-x^2)dx. Its mass is dM = 50*pi* (24x-x^2) and its weight dW =50*pi/32 (24x-x^2) The work is the integral between 0 and 24 of 50*pi/32(24x-x^2) dx in units of work You can perform the integral
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