A technician draws plans for a 400,000-gallon cylindrical tank with radius 27.0

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A technician draws plans for a

400,000-gallon
cylindrical tank with radius 27.0 ft. What should the height be? (1 ft3 = 7.48 gal. Round your answer using the rules for working with measurements.)

Oct 13th, 2015

Hello, my name is Natalie. Thank you for the opportunity to help you with your question!

To figure this out first you need to remember the area equation for a circle which is pi*r squared

pi * 27^2 = 2290.221044 ft^2

Then you need to convert 400,000 gallons into ft^3

This is done by dividing 400,000 gallons by 7.48 gallons 

this equals 53475.93583 ft^3

Since the volume of a cylinder equals the area of the top (area of the circle we determined) multiplied by the height you can set

53475.93583 ft^3 = 2290.221044 ft^2 * h

divide by 2290.221044 ft^2 on both sides

h = 23.349683 ft

Since the smallest number of significant figures is 3 the answer would therefore be h = 23.3 (the 4 rounds down)

Please let me know if you need any clarification. If you do, please message me in a chat, as I will not be notified if you responded here to the problem. I'm always happy to answer your questions. Thank you again for giving me the opportunity to be your tutor!
Oct 13th, 2015

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