## Algebra 1

$35.5212ft^{3}$
$Volume$ = $\pi *r^{2}*h$ 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: $(59.3656-23.8444)=35.5212ft^{3}$