Spherical segment

The spherical segment with height h=5 has a volume V=117. Calculate the radius of the sphere of which is cut this segment.

Correct result:

r =  3.16

Solution:

h=5 V=117  V=13πh2(3r−h)  r=Vπ⋅ h2+h/3=1173.1416⋅ 52+5/3=3.16

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Can you show the step by step process

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