Online Course Discussion Forum

MCIIA

 
 
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MCIIA
by Eddy zheng - Friday, 9 November 2018, 9:25 AM
 

I am a bit confused on how to do problem 21

 
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Re: MCIIA
by David Reynoso - Friday, 9 November 2018, 2:20 PM
 

Note this cone is like the one in problem 9.1.

The sphere is inscribed in the cone with radius $1$, and has radius $\dfrac{\sqrt{3}}{3}$, so you can figure out the height of the cone (Spolier alert: it is the same as the height of the cone of problem 9.1!).

The other sphere will be smaller. Here is a side view diagram of the two spheres in the cone:



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Re: MCIIA
by Eddy zheng - Saturday, 10 November 2018, 2:16 PM
 
Thanks! I figured it out now.