Question

find the volume of cone of radius r/2 and height 2h​

Answer 1

Step-by-step explanation:

We know,

Volume of cone(initially), V1 = 1/3π(r^2)h

V2 = 1/3π (r/2^2) 2h

V2 = 1/6π (r^2) H

V2= V1/2

Answer 2

Answer:

The volume of a cone of radius r/2 and height 2h​ is one-fourth of the volume V = (1/4)[(1/3)r³h].

Step-by-step explanation:

A cone is a three-dimensional shape having a flat round base and the height is the distance between the vertex of a cone and the base of a cone.

Let's assume that the volume of a cone is V and the radius and height of a cone are 'r' and 'h' respectively.

So, V = (1/3)r³h

Given,

The radius of a cone = r/2

The height of a cone = 2h

The volume of a cone is,

V' = (1/3)(r/2)³×(2h)

V' = (1/3)×(r³/8)×(2h)

V' = (1/4)[(1/3)r³h]

V' = (1/4)V

Hence, the volume of a cone of radius r/2 and height 2h​ is one-fourth of the volume V = (1/4)[(1/3)r³h].

To know more about the volume, click on the link below:

https://brainly.in/question/609711

To learn more about the cone, click on the link below:

https://brainly.in/question/71419

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