let us consider following problem:
When $30$ gallons water poured in to cylinder whose sides are perpendicular to base, water level rises $0.5$ ft, if $7.5$ gallons occupy $1$cu.ft space what is the area of base of tank?
so as i understand we have cylinder,which's volume is equal to
now when we have poured $30$ gallon,then water level rises $0.5$ ft,what does it means?does it means that it's volume is increased by $0.5$ or height?also what i think if $7.5$ gallon occupy volume of $1$cu.ft,which means that $\pi*r^2*h=1$,then how can i connect these two information together?can i say that $30$ gallon occupy $4$ cu.ft,because $30/7.5=4$,so it means that
$\pi*r^2*(h+0.5)=4$? if it is so then i will got $\pi*r^2*0.5=3$ from which $\pi*r^2=6$ is it correct?