Question

How the volume of a cone is related to the
volume of a cylinder having same height and
cross section respectively.
​

Answer 1

Answer:

ANSWER

Let the radius of the common base be r.

Let h

1

and h

2

be the heights of the cone and cylinder respectively

Then, volume of the cone =

3

1

πr

2

h

1

Volume of the cylinder πr

2

h

2

It is given that the cone and the cylinder are of the same volume.

∴

3

1

πr

2

h

1

=πr

2

h

2

⇒

3

1

h

1

=h

2

⇒

h

2

h

1

=

1

3

⇒h

1

:h

2

=3:1