Question

A large cylindrical cooler is 2 (1 )/2 feet high and has a diameter of 1 1/2 feet. It is filled

3/4 high with water for athletes to use during their soccer game. Estimate the volume of the water in the cooler to the nearest tenth of a gallon.

Answer 1

`\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\qquad \begin{cases} r=radius=(diameter)/(2)\\ h=height\\ ----------\\ diameter=1(1)/(2)\\\\ r=\cfrac{1(1)/(2)}{2}\\\\ h=2(1)/(2) \end{cases}`

so.. get the full volume of the cooler, by plugging in the given values

now, the cooler is only filled 3/4, how much is 3/4 of that? well, let's say you got a value V, 3/4 of that is , well
`\bf \cfrac{3}{4}\cdot V`