Question

8. If the volume of two cones are in the ratio 1:4 and their diameters are in the ratio 4:5, then
write the ratio of their heights.​

Answer 1

Answer:

Correct option is

D

25:64

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

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