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​=r2−r12​​=8.52−7.72​=518​=3.6 cm h2​=r2−r22​​=8.52−6.82​=1051​=5.1 cm h=h2​−h1​=5.1−3.6=23​=1.5 cm h=v

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