.A sector with central angle 0 is cut from a circle of radius 12 inches (see figure), and the edges of the sectorare brought together to form a cone. Find the magnitude of 0 such that the volume of the cone is a maximum.(hint: the circumference of the cone's base is the circle's arc after removing the sector with central angle 0, it willbe easier to solve the problem if you assume rr12 in12 in

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Asked Nov 11, 2019
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whats the domain and inequality for this problem? Is it -12<x<0 or 0<x<12 ?

.A sector with central angle 0 is cut from a circle of radius 12 inches (see figure), and the edges of the sector
are brought together to form a cone. Find the magnitude of 0 such that the volume of the cone is a maximum.
(hint: the circumference of the cone's base is the circle's arc after removing the sector with central angle 0, it will
be easier to solve the problem if you assume rr
12 in
12 in
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.A sector with central angle 0 is cut from a circle of radius 12 inches (see figure), and the edges of the sector are brought together to form a cone. Find the magnitude of 0 such that the volume of the cone is a maximum. (hint: the circumference of the cone's base is the circle's arc after removing the sector with central angle 0, it will be easier to solve the problem if you assume rr 12 in 12 in

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Expert Answer

Step 1

Given that

is cut from a circle od radius 12 inches and edges of the sector are brought
A sector with central angle
together to form a cone
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is cut from a circle od radius 12 inches and edges of the sector are brought A sector with central angle together to form a cone

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Step 2
Find magnitude of 0 such that the volume of the cone is maximum
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Find magnitude of 0 such that the volume of the cone is maximum

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Step 3

Here l = 12 inches is constant

So, the only var...

2mr
cut
By Pythagorean theorem
h= 2 -2
h=144-2
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2mr cut By Pythagorean theorem h= 2 -2 h=144-2

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