A cone is cut by a plane parallel to its base, 1/3rd from the top. What is the ratio of the volumes of the smaller top cone to the whole cone?
Show answer & explanation
Correct answer: A
Explanation
Cut from the top = 1/3 of the 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