MarceloMoorhouse
Answered

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The radius of the base of a right circular cone is 6 and the radius of a parallel cross section is 4. If the distance between the base and the cross section is 8, what is the height of the cone?
A. 11
B. 13 1/3
C. 16
D. 20
E. 24

Sagot :

Hippalectryon
[see the figure attached]
Let's take a look at a vertical section of the cone.
By Thales' theorem, the height is [tex]\dfrac{BD}{CE}=\dfrac{AB}{AC}[/tex] hence [tex]h=AC=\dfrac{AB\cdot CE}{BD}=\dfrac{(h-8)\cdot6}{4}[/tex] thus [tex]\boxed{h=24}[/tex]

Answer E
View image Hippalectryon
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