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Answer on Geometry Question for Maranda

Question #11875
A spherical water tower has a diameter of 20 feet. (use the value pi=3.143) Aproximately how many cubic fee of water does it contain when it is 3/4 full?
Expert's answer
The volume of a spherical water tower is

V = 4/3·pi·(D/2)³ = 4/3·pi·(20/2)³ = 4/3·pi·1000 feet³.

So, a tower contains

3/4·V = 3/4·4/3·pi·1000 = 1000·pi ≈ 1000·3.143 = 3143 feet³

of water when it is 3/4 full.

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19.07.2012 01:09

volume of spherical water tower = (4/3)*pi*radius^3 ,where radius=10 feet
= 4190.67 cubic feet
now contained water (in cubic feet) when it is 3/4 full = (3/4) * 4190.67 = 3143 cubic feet (approx.)

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