Question

The base radii of the two cones are
the same but their volumes are 16πm3
and 9πm3 respectively. The ratio of
their height is​

Answer 1

Answer:

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1

rippu

rippu

17.11.2017

Math

Secondary School

+5 pts

Answered

the base radii of two right circular cones of the same height are in the ratio 3:5. find the ratio of their volumes

2

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Solution :-

Let there be cone 1 and cone 2 respectively.

Let the r and R be the radii of the two right circular cones respectively.

Ratio of base radii = 3 : 5

Volume of cone = 1/3πr²h

⇒Volume of cone 1/Volume of cone 2

⇒ (1/3*πr²h)/(1/3πR²h)

⇒ (1/3*π*3²*h)/(1/3*π*5²*h)

= 3²/5²

= 9/25

= 9 : 25

So, the ratio of their volumes is 9 : 25

Explanation:

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