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What is the similarity ratio of the smaller to larger similar cones?

larger one v=1024 pi m^3
smaller one v=250 pi m^3

User Colin Roe
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2 Answers

3 votes

Answer: We get that the volume of larger cone is 4.096 times the volume of smaller cone.

Explanation:

Since we have given that

Volume of large cone = 1024π m³

Volume of smaller cone = 250 π m³

We need to find the relation between the volume of larger and smaller one.

So, Ratio of volume of larger one to volume of smaller one.


\frac{\text{Volume of larger one}}{\text{Volume of smaller one}}=(1024\pi)/(250 \pi)=4.096

So, we get that the volume of larger cone is 4.096 times the volume of smaller cone.

User Eidy
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3 votes

V=1024 pi m^3 and v=250 pi m^3
the similarity ratio of the smaller to larger similar cones is
k= V/v=1024 pi m^3/250 pi m^3= 4.096
the great cone is 4.096 times of the small cone (in volume)
User ElvisLives
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