Question

A cylindrical oil tank 8 ft deep holds 580 gallons when filled to capacity. How many gallons remain in the tank when the depth of oil is 3 1/2 ft.

Answer 1

`\begin{gathered} 8ft=580\text{ gallons} \\ 3(1)/(2)ft=x \end{gathered}`

Solution

`\begin{gathered} (8)/(3.5)=(580)/(x) \\ cross\text{ multiply} \\ 8x=3.5*580 \\ 8x=2030 \\ divide\text{ both sides by 8} \\ (8x)/(8)=(2030)/(8) \\ x=253.75 \end{gathered}`

The final answer

253.75 gallons remain in the tank when the depth of oil is 3.5 ft