Question

Q13. The base radii of the two right circular cones of the same height ate in the ratio 3:5 find the ratio of their volumes? *



25:9

3:5

9:25

None

​

Answer 1

Answer ⤵️

Let r

1

and r

2

be the radii of two cones and V

1

and V

2

be their volumes. Let h be the height of the two cones . Then,

V

1

=

3

1

πr

1

2

h and V

2

=

3

1

πr

2

2

h

Therefore,

V

2

V

1

=

r

2

2

r

1

2

=

25

9

Hence, the ratio of the volumes of two cones is

9 : 25.

Answer 2

Let r1 and r2 be the radii of the two comes v1 and v2 be their volumes . Let h (height) of two cones...

v1= 1/3 πr1²h and v2 =1/3πr2²h

Therefore:-

V1/V2 = r1²/r2² =9/25

Hence 9:25