The height of the cylinder isexactly 50 ft. The radius of the base is measured as 10 ft, with a maximum error of +/- .5 ft. Use differentialsto calculate the maximum error in the calculation of the volume of the silo.
Radius, r = 10 ft. Δr = 10 X 0.5 = 5. Volume, v = л X r? X h = 3.14 X 50 X r? = 157 X r?. dv/dr = 314r ; Δv = (dv/dr). Δr = (314 X 10) X 5 = 15700 cft. Maximum error = 15700/(3.14 X 100 X 50) = ± 1.
