Spherical 81527

Sketch a spherical layer formed from a sphere with a radius of r= 8.5cm, given: v=1.5cm, r1=7.7cm, r2=6.8cm.

What is its volume?

Correct answer:

V =  250.4164 cm3

Step-by-step explanation:

r=8.5 cm v=1.5 cm r1=7.7 cm r2=6.8 cm  V=6π v (3 r12+3 r22+v2)=63.1416 1.5 (3 7.72+3 6.82+1.52)250.4164 cm3   Verifying Solution:  h1=r2r12=8.527.72=518=3.6 cm h2=r2r22=8.526.82=1051=5.1 cm h=h2h1=5.13.6=23=1.5 cm h=v

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