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.)
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
with sig figs how would that work
With siginificant figures you do the rounding at the end. Since 400,000 has 1 sig fig and 7.48 has 3 I would round the answer to 23.5
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