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What is the formula for calculating the depth of liquid in a sphere?
Wiki User
∙ 10y ago
Consider a sphere of radius r.
Let the z-axis be the vertical axis and suppose the sphere's centre is at z = 0. [Thus the sphere goes from z = -r to z = r.]
Suppose the volume of liquid in it is V.
Then you need to sove
3V/pi = 3r2z - z3 + 3r3 - r3 = 3r2z - z3 + 2r3 for z.
Then, the depth is z + r
Wiki User
∙ 10y ago
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