## Calculus: Early Transcendentals 8th Edition

$\approx 1.67 \times 10^{4} ft-lb$
The magnitude of gravitational force acting on the man +Can of paint $=160+25=185$ lbs When we are moving in the upward direction, then we have $F \cdot dr=185 dr$ and $W=\int_C F\cdot dr=185 \int_C dr$ Here, $C$ is a vertical line segment joining the lower and upper part of the silo, so we get Work done, $W=\int_C F\cdot dr=(185) \int_C dr=185(90) \approx 1.67 \times 10^{4} ft-lb$