Question

the volume and the heights of a cylinder and a cone are equal. find the ratio of the radii of their Bases
​

Answer 1

Step-by-step explanation:

Given that, A cylinder and cone have base of equal radii and are of equal heights and their volumes are in the ratio of 3 : 1.

⇒ Let r = radius of cylinder = radius of cone,

and h = height of cylinder = height of cone.

⇒ And, volume of cylinder = πr2h

Volume of cone

⇒ Their volumes are in the ratio of 3 : 1.

Answer 2

Step-by-step explanation:

Let radii of bases of cylinder and cone be r

1

and r

2

and height be h.

Given, volumes are equal

⇒πr

1

2

h=

3

1

πr

2

2

h

⇒

r

2

2

r

1

2

=

3

1

⇒

r

2

r

1

=

3

1

⇒r

1

:r

2

=1:

3

.