MarceloMoorhouse
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.


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 stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.