Sphere slices

Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm.

Correct answer:

V =  530.8 dm3
S =  317 dm2

Step-by-step explanation:

r1=32 cm r2=47 cm v=21 cm  v2=2 vr12r22+v2=2 21322472+212=712417.7143 cm  r=r22+v22=472+17.7143250.2274 cm  V1=34 π r3=34 3.1416 50.22743530776.6252 cm3  V=V1 dm3=V1:1000  dm3=530776.6252:1000  dm3=530.8 dm3=530.8 dm3
S1=4π r2=4 3.1416 50.2274231702.3885  S=S1 dm2=S1:100  dm2=31702.3885:100  dm2=317 dm2=317 dm2



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