All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
A Cone and a Sphere (Posted on 2018-09-07) Difficulty: 2 of 5
A sphere has a radius of 10 cm. A right circular cone has a height of 10 cm and base diameter of 10 cm. The sphere and the cone stand on a horizontal surface. If a horizontal plane cuts both the sphere and the cone, the cross-sections will both be circles.

Find the height of the horizontal plane (from the bottom) (in cm) that gives circular cross-sections of the sphere and cone of equal area.

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(2): solution | Comment 5 of 6 |
(In reply to re: solution by Steven Lord)

I agree. Unless I have misunderstood his solution, Charlie has assumed a cone radius of 10, rather than a cone diameter of 10 (with a radius of 5). Using Charlie's method, but the correct radius, his answer agrees with yours.


 

Edited on September 7, 2018, 11:26 pm
  Posted by broll on 2018-09-07 23:22:53

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information