# Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 9cm.

2
by catastrophe13

2016-03-05T17:38:04+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Since the edge of cube is 9 cm this will be the altitude of the cone.
The radius of circular cone will be 9:2=4.5 cm.
The volume of cone is given by formula: , where R is the radius and H the altitude of cone. Since we are asked for the largest cone, its volume must be equal or less than the volume of cube. We write:

so answer will be 60 .75 [pie]cm
³
plz mark brainlest
2016-03-05T17:47:26+05:30
Diameter of cone = height of the cone = side of cube = 9cm
volume of cone = 1/3 × 22/7 × r × r × h
radius of cone = 9 / 2 cm
= 1/3 × 22/7 × 9/2 × 9/2 × 9
= 2673/14
=190. 9 cm cube