An edge of a cube measures r cm. If the largest possible right circular cone is cut-out of this cube, then prove that the volume of the cone so formed is 1/6 pi r^3 (in cm^3). Please elucidate! :-)
An edge of a cube measures r cm. If the largest possible right circular cone is cut-out of this cube, then prove that the volume of the cone so formed is 1/6 pi r^3 (in cm^3). Please elucidate! :-)
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Thus the dimensions of the cone are:-
diameter = r ; radius = r/2
height = r
We know that volume of a cone = 1/3πr²h
So in this case, volume = 1/3π(r/2)²r
= 1/3πr²/4*r
= 1/12πr³
So that comes to 1/12πr³ . I guess 1/6πr³ isn't the answer.