A cocktail glass with a bowl shaped like a hemisphere with diameter 8 cm contains a spherical cherry with a diameter of 2 cm. If the glass is filled to a depth of D cm, what is the volume of liquid the cocktail glass contains?
A cocktail glass with a bowl shaped like a hemisphere with diameter 8 cm contains a spherical cherry with a diameter of 2 cm. If the glass is filled to a depth of D cm, what is the volume of liquid the cocktail glass contains?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A cocktail glass with a bowl shaped like a hemisphere with diameter 8 cm contains a spherical cherry
with a diameter of 2 cm. If the glass is filled to a depth of D cm, what is the volume of liquid the
cocktail glass contains?
Hint D goes from 0 (empty) to 4 cm (full). First consider the case where the cherry is partially
submerged (as shown in the figure) and the case where the cherry is totally submerged. See section 7.6
for formulas for volume using integrals.
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