A hemisphere and a cone have the same base radius and same height. What is the ratio of their volumes?
Show answer & explanation
Correct answer: B
Explanation
Given:
Radius of the hemisphere and the cone = r
Height = r
According to the formula:
Volume of the hemisphere = (2/3)πr³
Volume of the cone = (1/3)πr²h
Volume of the cone = (1/3)πr² × r = (1/3)πr³
Hemisphere : Cone = (2/3)πr³ : (1/3)πr³ = 2 : 1