MarceloMoorhouse
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.


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
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.