[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=34.54 \end{cases}\implies 34.54=2\pi r\implies \cfrac{34.54}{2\pi }=r\implies 5.5\approx r[/tex]
now, if the radius of the bowl is about 5.5, that means the diameter which twice the radius is about 11 inches long.
the cooler is a 10x15, so the sides of the cooler are either 10" long or 15" long, will the bowl of diameter 11" fit inside? sure.
