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