##### 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

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)

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Oct 13th, 2015

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Oct 13th, 2015
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Oct 13th, 2015
Dec 5th, 2016
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