Math, asked by Coolboyjayant9519, 9 months ago

A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3 : 1.

Answers

Answered by sneha6654
3

Step-by-step explanation:

pls mark as brainliest

Attachments:
Answered by nikitasingh79
2

Given : A cylinder and a cone are having equal radii of their bases and heights.

Let, the radius of the cone and radius of the cylinder be r and Height of the cone and height of the cylinder be h.

Now,  

Volume of Cylinder (V1) / Volume of cone (V2) = πr²h/(1/3 πr²h)

V1/V2 = 1/(⅓)  

V1/V2 = 1 × 3/1  

V1/V2 = 3/1

V1 : V2 = 3 : 1

Hence, it is proved that their volumes are in the ratio 3 : 1.

HOPE THIS ANSWER WILL HELP YOU…..

Similar questions :

The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is A. 1 : 3 B. 3 : 1 C. 4 : 3 D. 3 : 4

https://brainly.in/question/15912337

 

The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is A. 2 : 1 B. 1 : 1 C. 2 : 3 D. 1 : 2

https://brainly.in/question/15912818

 

Similar questions