Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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First image is the word problem and second picture is the question to the problem. Please show all steps and explain with clear handwriting. No cursive if possible. 

Problem Choice 2.1. In this problem, we will consider a filter that is shaped as a lower semi- sphere. The picture below
shows a spherical filter with water filled to level h. The following formulas are essential for a completion of this work.
Th² (R
h
• The volume of water filled to level h in a spherical bowl with radius Ris given by V :
3
• Another crucial formula is A =
27R h, for the surface area of the part of the sphere that is in contact with the body of
water.
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Transcribed Image Text:Problem Choice 2.1. In this problem, we will consider a filter that is shaped as a lower semi- sphere. The picture below shows a spherical filter with water filled to level h. The following formulas are essential for a completion of this work. Th² (R h • The volume of water filled to level h in a spherical bowl with radius Ris given by V : 3 • Another crucial formula is A = 27R h, for the surface area of the part of the sphere that is in contact with the body of water.
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