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?

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter3: Radian Measure

Section3.4: Arc Length And Area Of A Sector

Problem 59PS: Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has...

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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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