A cone is cut parallel to its base such that the upper part is 1/3 of the original height. Find the ratio of volumes of the smaller cone to the original.
Show answer & explanation
Correct answer: A
Explanation
Height of the smaller cone = 1/3 of the original height
According to the formula:
Ratio of the volumes of similar cones = (Linear ratio)³
Linear ratio = 1/3
Volume ratio = (1/3)³ = 1/27 = 1 : 27