Sphere slices

Calculate volume and surface of a sphere, if the radii of parallel cuts r1=31 cm, r2=92 cm and its distance v=25 cm.

Correct result:

V =  18984.5 dm3
S =  3441.5 dm2

Solution:

 v2=∣r12−r22+v2∣2v=∣312−922+252∣2⋅25=137.56cm r=r22+v22=922+137.562=165.49cm  V=43πr3=43⋅1000π⋅165.493=18984.5 dm3
S=4πr2=4π⋅165.492100=3441.5 dm2

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