A cocktail glass with a bowl shaped like a hemisphere with diameter 8 cm contains a spherical cherrywith a diameter of 2 cm. If the glass is filled to a depth of D cm, what is the volume of liquid thecocktail glass contains?Hint D goes from 0 (empty) to 4 cm (full). First consider the case where the cherry is partiallysubmerged (as shown in the figure) and the case where the cherry is totally submerged. See section 7.6for formulas for volume using integrals.

Given that, x2+(y-4)2=42 x2=16-(y-4)2 x=16-y-42 From the washer method,…

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?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 43AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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Question

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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