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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.

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 12 ft class=

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Solution

[tex]\begin{gathered} 8ft=580\text{ gallons} \\ 3\frac{1}{2}ft=x \end{gathered}[/tex]

Solution

[tex]\begin{gathered} \frac{8}{3.5}=\frac{580}{x} \\ cross\text{ multiply} \\ 8x=3.5\times580 \\ 8x=2030 \\ divide\text{ both sides by 8} \\ \frac{8x}{8}=\frac{2030}{8} \\ x=253.75 \end{gathered}[/tex]

The final answer

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

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