Question

two cylinder have their heights in the ratio 1:3 and the ratio of their base in the ratio 3:1. find the ratio of their volume.​

Answer 1

Answer:

Given, V

1

=V

2

(V is the volume of cylinder).

and h

1

:h

2

=1:3 (h is the height of cylinder).

Now, V=πr

2

h

∴V

1

=V

2

⇒πr

1

2

h

1

=πr

2

2

h

2

⇒(

r

2

r

1

)

2

=

h

1

h

2

⇒(

r

2

r

1

)

2

=

1

3

⇒

r

2

r

1

=

1

3