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Verified Answer :

Nirina7


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)

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

Step-by-step 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.

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

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

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