The radius of the base and height of a cone are 5 cm and 6 cm, respectively, whereas the radius of the base and height of a cylinder are 2.5 cm and 3 cm, respectively. The ratio of the volume of the cone to that of the cylinder is: (Where π = 22/7)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 8 : 3.
Given that
Radius and height of cone = 5 cm and 6 cm respectively
Radius and height of cylinder = 2.5 cm and 3 cm respectively
Formula used
Volume of cone = πr2h
Volume of cylinder = πR2H
Hence, the required ratio = πr2h : πR2H
Substituting the values we get
Volume of cone : Volume of cylinder = 8 : 3