Hemisphere cut

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

Correct answer:

V =  1839.9261 cm3

Step-by-step explanation:

v=3 cm r=10 cm  V1=34 π r3=34 3.1416 1034188.7902 cm3 V2=31 π v2 (3 rv)=31 3.1416 32 (3 103)254.469 cm3  V=V1/2V2=4188.7902/2254.469=1839.9261 cm3

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