Question 969584
The volume of water in a spherical tank having a diameter of 4 m is 5.236 m3. Determine the depth of the water in the tank.
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That's a spherical cap
{{{Vol = pi*h^2(3r - h)/3}}} -- an obvious formula?
Vol = 5.236
r = 2
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{{{5.236 = pi*h^2(6 - h)/3}}}
{{{6h^2 - h^3 = 15.708/pi = 5}}}
{{{h^3 - 6h^2 + 5 = 0}}}
h = 1 (by observation)
If it's not an obvious solution you have to solve the cubic.