Question #a2443

1 Answer
Mar 19, 2017

Ratio of surface area to volume of a cylinder of radius r=4 r=4 inch and height h=6h=6 inch is given by

"Total Surface Area"/"Volume"=(2pir^2+2pirh)/(pir^2h)Total Surface AreaVolume=2πr2+2πrhπr2h

=(2pir^2)/(pir^2h)+(2pirh)/(pir^2h)=2/h+2/r=2/6+2/4=1/3+1/2=5/6=2πr2πr2h+2πrhπr2h=2h+2r=26+24=13+12=56