1.

A cone and a cylinder are havingsame base, find the ratio of theirheights if their volumes are equal.2​

Answer»

ANSWER:

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Step-by-step explanation:

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


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