Answer
$35.5212ft^{3}$
Work Step by Step
$Volume$ = $\pi *r^{2}*h$
given height: 2 ft
given diameter: 5 ft
maximum height: $2+.5 = 2.5$
If the height was 2.51 feet, we would round up to 3 feet.
minimum height: $2-.5 = 1.5$
If the height was 1.49 feet, we would round down to 1 foot.
maximum diameter: $5+.5= 5.5$
If the diameter was 5.51 feet, we would round up to 6 feet.
minimum diameter: $5-.5 = 4.5$
If the diameter was 4.49 feet, we would round down to 4 feet.
maximum volume: $ V = \pi*r*r*h$
$ V = \pi * 5.5/2*5.5/2*2.5$
$V = \pi * 2.75 * 2.75 * 2.5$
$V = 59.3656$ ft cubed
minimum volume: $ V = \pi*r*r*h$
$V = \pi * 4.5/2 * 4.5/2 * 1.5 $
$V = \pi * 2.25*2.25 * 1.5$
$V= 23.8444$ ft cubed
maximum error: $(59.3656-23.8444)=35.5212ft^{3}$
