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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
6 Nov 2021

Given information

To find:

Value of

Step-by-step explanation

Step 1.

Let  be the radius of the sphere.

Consider the gray-shaded area to be the top of the sphere with a height of .
 
As a result, the volume of the sphere's cap is
             
 
To calculate , consider the triangle  
 
 
 

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