"Find the volume of the largest right circular
cone that can be inscribed in a sphere of radius 3."
This is my Question!!
Please help me!!
2007-10-29 07:23:30 · 2 answers · asked by michaelfnck 3 in Science & Mathematics ➔ Mathematics
can i have the answers!!??
thanks!!
2007-10-29 08:43:51 · update #1
Imagine a plane cutting through the sphere and cone, passing through the apex of the cone and a diameter of the base of the cone. This gives you a 2-D cross-section to work with. Here's a diagram:
http://i23.tinypic.com/2ztd4zm.gif
The small right triangle at the lower right of the figure should enable you to write a relation (using the Pythagorean Theorem) between h (the height of the cone) and R (the radius of the base of the cone). Then use that in the formula for the volume of the cone,
V = (π/3) R² h
to get V in terms of only R or only h. (I would recommend getting V in terms of h; the resulting algebra is easier.)
2007-10-29 09:22:13 · answer #1 · answered by Ron W 7 · 0⤊ 0⤋
make it simpler
first find the volume of the largest triangle that can be inscribed in a cicle of radium 3
2007-10-29 15:36:19 · answer #2 · answered by Anonymous · 0⤊ 0⤋