Question

If the volumes of two cones we in the
viatio of 1:4 and their diameter in the ratio of
4:5 Then find the ratio of their heights.​

Answer 1

Answer:

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Step-by-step explanation:

Let V

1

and V

2

are the volumes of the cones.

V

2

V

1

=

1/3πr

2

2

h

2

1/3πr

1

2

h

1

=

r

2

2

h

2

r

1

2

h

1

⇒

4

1

=

5

2

×h

2

4

2

×h

1

(∵V

1

:V

2

=1:4 and r

1

:r

2

=4:5)

Thus, h

1

:h

2

=25:64

Answer 2

25:16 is the correct answer