A square bottomed pyramid is placed inside a sphere. What is the ratio of the volumes, assuming that the pyramid has the highest volume possible?
I enjoyed this one. Thought I'd share it here.
A square bottomed pyramid is placed inside a sphere. What is the ratio of the volumes, assuming that the pyramid has the highest volume possible?
I enjoyed this one. Thought I'd share it here.
Other urls found in this thread:
en.wikipedia.org
mathworld.wolfram.com
en.wikipedia.org
twitter.com
Wasnt as hard as I thought it would be
>square bottomed pyramid
That is just called a quadrilateral pyramid.
>how to find function maximums
Square bottomed pyramids make the rocking world go round
Stop calling it that. Read a book about solid geometry and learn all the real kewl as fuq names.
>don't call a square pyramid a square pyramid
>just call it a quadrilateral pyramid with a parallel and equilateral base
Also, it is called a square pyramid.
en.wikipedia.org
mathworld.wolfram.com
not enough information OP
what is the size of the lateral line?
OR
is the size of the side triangle the same of the side of the square?
>assuming that the pyramid has the highest volume possible
the ratio could be anything if he doesn't give at least two different measures of the pyramid
nice try retard
the ratio is different depending on the measures of the pyramid you double nigger
there's only one (1) largest inscribed pyramid
it's only dependent on the radius of the sphere
Yes, there is enough information. You just need to understand that the radius of the sphere is constant.
So, what's the answer?
OP here, the answer is 16/27π
in case anyone was wondering.
>Also, it is called a square pyramid.
Actually, it is called a regular quadrilateral pyramid.
But a regular quadrilateral is also called a square so I will give you that. That said, you did not call it a square pyramid, you called it a square bottomed pyramid. Euclid is rolling in his grave.
yup, I did sphere to pyramid
Vs/Vp=(4/3)π/(8/9)^2=(27/16)π
post solution pls
Differentiate and equate to zero, it's like baby calculus
That's the least difficult part.
You obviously didn't solve it.