A cylinder has a radius R and a height 2R. A hemisphere has a radius R. What is the ratio of their volumes (Cylinder: Hemisphere)?
Show answer & explanation
Correct answer: A
Explanation
Radius of the cylinder = R, Height = 2R
Radius of the hemisphere = R
Volume of the cylinder = πR²(2R) = 2πR³
Volume of the hemisphere = (2/3)πR³
Ratio = 2πR³ : (2/3)πR³ = 2 : (2/3) = 3 : 1