Question

Find the ratios of volume of Cylinder , Cone and Sphere ,If they have same radius and same height.


Plss dont copy it from ggle , bcoz I hv already checked on ggle the ques is little different.​

Answer 1

Answer:

Let thr radii be R and height be H....

Vol. of cylinder. = πR^2H

Vol. of Cone = 1/3 πR^2H

Vol. of Sphere = 4/3 πR^3

Ratio---> cylinder: cone: sphere

πR^2H : 1/3πR^2H : 4/3 πR^3

H:1/3H:4/3R

Answer 2

Answer:

The Ratio of the volumes of a cylinder, a cone and a sphere is 3 : 1 : 2  

Step-by-step explanation:

Given :

Diameter and heights of the cylinder, cone, and sphere are same.

Diameter = 2r

$\sf \: Radius = \frac{diameter}{2} = \frac{2r}{2 }= r$

Let the radius of the cylinder = radius of the cone  =  radius of the sphere = r

Height of the cone =  Height of the Cylinder =  diameter of Cylinder = 2r

$\sf volume \: of \: cylinder :  Volume \: of \: cone : Volume \: of \: sphere$

$\sf \: πr²h : \frac{1}{3} πr²h : \frac{4}{3}πr³$

$\sf \: r²h : \frac{1}{2} r²h : \frac{4}{3}r³$

$\sf \: r²(2r) : \frac{1}{3} r²(2r) : \frac{4}{3}× r³$

$\sf \: 2r³ : \frac{2r³}{3} : \frac{4r³}{3}$

$\sf \: 1 : \frac{1}{3} : \frac{2}{3}$

$\huge \star \boxed{ \pink{\sf 3 : 1 : 2  }}$

Ratio of the volumes of a cylinder, a cone and a sphere = 3 : 1 : 2