Question

Find the height of largest right circular cone that can be cut out of a cube whose volume is 729 cm³.

Answer 1

SOLUTION:

Given :
Volume of a cube = 729 cm³
Volume of the cube = ( edge) ³

729 =  ( edge) ³
Edge = ³√ 729
Edge = ³√ 9 × 9 × 9
Edge of a cube = 9 cm

Height of the largest right circular cone = Edge of a cube
Height of the largest right circular cone = 9 cm.

Hence , the height of the largest right circular cone = 9 cm.

HOPE THIS WILL HELP YOU..

Answer 2

Volume of cube = 729 cm²

Volume of cube = (side)³

(side)³ = 729 cm³

side = ∛729 

side = 9 cm 

side of cube = diameter of cone = height of cone