cylindrical tank with radius 27.0 ft. What should the height be? (1 ft^{3} = 7.48 gal. Round your answer using the rules for working with measurements.)

Thank you for the opportunity to help you with your question!

Volume of a cylinder is the area of the base (r^2*pi) times the height.

V = r^2(pi)(h)

If we know that this is a 400,000 gallon tank then we can convert gallons to cubic feet.

400000/7.48=53475.9358289 (I will round at the end of calculations and if you need me to do something else I can redo it.) So the volume is 53475.9358289.

We can rearrange the volume equation to V/(r^2(pi))=h

Plugging in the numbers we have 53475.9358289/(27^2(pi)= 23.4500041 feet. I would round the answer to 23.45

Don't be afraid to ask me any questions about my explanation.