Question

A cylinder and a cone are of the same base radius and of same height. Find the ratio of the value of the cylinder to that of the cone

Answer 1

Answer:

The Ratio of the volumes of the cylinder to that of  a cone  is 3 : 1

Step-by-step explanation:

Given :

Radius and heights of the cylinder, cone are same.

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

Height of the cone =  Height of the Cylinder =  h

Volume of cylinder (V1) / Volume of cone  Volume of sphere(V2) = πr²h / ⅓ πr²h

V1 / V2 = πr²h / ⅓ πr²h

V1 / V2 = r²h / ⅓ r²h  

V1 / V2 = 1/ ⅓  

V1 / V2 = 1 × 3/1

V1 / V2 = 3/1

V1 :  V2 = 3 : 1

Ratio of the volumes of the cylinder to that of  a cone = 3 : 1  

Hence, the Ratio of the volumes of the cylinder to that of  a cone  is 3 : 1

HOPE THIS ANSWER WILL HELP YOU ..

Answer 2

HeRe Is Your Ans ⤵

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Vol.of cylinder / Vol.of cone

=> πr2h / (1 / 3πr2h)

=> πr2h x 3 / πr2h

=> 1 × 3 / 1

=> 3 / 1

=> 3 :1

Hence , the ratio of the value of the cylinder to that of the cone is 3 : 1

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