Question

A cone and a cyclinder are having the same base find the ratio of their height of their volumes are equal

Answer 1

Answer:

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Step-by-step explanation:

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$222y2yyxy$

Answer 2

Answer:

3:1

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