Q2 of 51 Page 13

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

Given: Side of cube = 9 cm


Formula Used:


Volume of cone =


Explanation:


The side of the cube = 9cm


Let the radius of the cube be “r” cm.


Since largest cube is carved from the cube


The diameter of the base of cone = side of cube


⇒ 2r = 9


⇒ r = cm


Height of cone, h = 9 cm


Volume of largest cone =




= 190.92 cm3


∴ volume of largest cone, v = 190.92 cm3


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