## Calculus 8th Edition

$\approx 1.67 \times 10^{4} ft-lb$
The magnitude of gravitational force acting on the man $+$ Can of paint $=160+25=185lbs$ When we are moving in the upward direction, then we have $F \cdot dr=185 dr$ $W=\int_C F\cdot dr=185 \int_C dr$ Here, $C$ shows a vertical line segment joining the lower and upper part of the silo, then we have $W=\int_C F\cdot dr=185 \int_C dr=185(90)$ or, $W=16, 650 ft-lbs \approx 1.67 \times 10^{4} ft-lb$