Hemisphere cut

Calculate the volume of the spherical layer that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm.

Correct result:

V =  1839.9261 cm3


v=3 cm r=10 cm  V1=43 π r3=43 3.1416 1034188.7902 cm3 V2=13 π v2 (3 rv)=13 3.1416 32 (3 103)254.469 cm3  V=V1/2V2=4188.7902/2254.469=1839.9261 cm3

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