Question

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

Answer 1

Given that, 

side of the cube = 9 cm Let radius of cone be x. 

Since largest cone is curved from cube. 

Diameter of base of cone = side of cube 

⇒ 2x = 9 

⇒ x \(\frac{9}2\) = cm 

since sides of cube are equal and cone is cut from the cube.Maximum height of the cone can be 9 cm.

So,

Height of cone is: h = 9 cm 

Volume of largest cone = \(\frac{1}{3}πr^2h\)

V = 190.92 cm³ 

∴ volume of largest cone, v = 190.92 cm³