Respuesta :
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.
[tex]\dfrac{\text{Volume of larger one}}{\text{Volume of smaller one}}=\dfrac{1024\pi}{250 \pi}=4.096[/tex]
So, we get that the volume of larger cone is 4.096 times the volume of smaller cone.