Maths-

General

Easy

Question

# Ratio of volume of a cone to the volume of a cylinder for same base radius and

same height is __________

- 3:1
- 1:3
- 2:1
- 1:2

Hint:

### Here is the activity for finding the volume of cone

## The correct answer is: 1:3

### Let us take a cylinder of height "h", base radius "r", and take 3 cones of height "h". Fill the cones with water and empty out one cone at a time

Each cone fills the cylinder to one-third quantity. Hence, such three cones will fill the cylinder. Thus, the volume of a cone is one-third of the volume of the cylinder.

Volume of cone = (1/3) × Volume of cylinder

= () × πr^{2}h

= ()πr^{2}h

So the ratio of volume of cone to the volume of cylinder is 1:3

Therefore , the correct option is b) 1:3

Each cone fills the cylinder to one-third quantity. Hence, such three cones will fill the cylinder. Thus, the volume of a cone is one-third of the volume of the cylinder.

Volume of cone = (1/3) × Volume of cylinder

= () × πr

^{2}h

= ()πr

^{2}h

So the ratio of volume of cone to the volume of cylinder is 1:3

Therefore , the correct option is b) 1:3

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