Spherical Cap
Calculus
Level
pending
A plane passes through a sphere of radius 1 cm such that its perpendicular distance from the sphere's centre is 0.5 cm. Of the two parts thus generated, find the volume of the smaller part.
The answer is 0.6545.
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1 solution
When I came across this problem, it was a pretty long integral for me...so I used a bit of Electrostatics to find out the general expression and in this method the integration was of basic level.