Question

9. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. The ratio of their volumes is (a) 1:6 (b) 1:9 (c) 1:3 (d) 2:9​

Answer 1

Answer:

Let V

1

be the volume of 1st cylinder and V

2

be the volume of 2nd cylinder

V

1

=πr

1

2

h

1

V

2

=πr

2

2

h

2

⇒

V

2

V

1

=(

r

2

r

1

)

2

h

2

h

1

=(

2

1

)

2

×

3

2

=

4

1

×

3

2

=

6

1