A right circular cone is inscribed in a cube having a diagonal which measures 10√3 cm. Find the volume of the cone and the volume of space between the cone and the cube.

Question

pawanyadav · Answer

@ilikestudying140898 have a look what you wrote

ilikestudying140898 · Answer

opps

ilikestudying140898 · Answer

my bad..

pawanyadav · Answer

Diagonal of cube =√3 (side)
 And.   From question.     √3(side)=10√3
        side=10 
Now,  diameter of cone=side of cube
So radius =side/2=10/2=5

pawanyadav · Answer

Volume of cube 
=side^3=10^3=1000 cm^3
And volume of cone=1/3(πr^2h)
      Where r=5,h=10
So volume=?

anonymous · Answer

V=262

pawanyadav · Answer

Right

anonymous · Answer

what's the next?

pawanyadav · Answer

Volume of cube=?

pawanyadav · Answer

So volume of space between cube and cone=  volume of cube- volume of cone

pawanyadav · Answer

=1000-262 cm^3 is the answer of second part.

anonymous · Answer

ahh okay. :) but I don't get this part "/2=10/2=5" from your second comment. hehe

anonymous · Answer

i get it now. thank you! :) this helps me a lot.