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The radius of the base of a right circular cone is 5 times greater than the radius of a second right circular cone. If the heights of both cones are the same, what is the volume of the larger cone divided by the volume of the smaller cone? A. 5 B. 10 C. 15 D. 25

Respuesta :

The volume of the larger cone divided by the volume of the smaller cone is 25.

What is the ratio of the volumes?

A cone is a three-dimensional object that is made up of a circular base and a vertex.

Volume of a cone = 1/3(πr²h)

Assumed dimensions of the smaller cone:

  • Height = 10
  • Radius = 3

Volume = 1/3(Ï€ x 9 x 10) = 30Ï€

Assumed dimensions of the larger cone:

  • Height = 10
  • Radius = 3 x5 = 15

Volume = 1/3(Ï€ x 225 x 10) = 750Ï€

Ratio of the volumes = 750Ï€ / 30Ï€ = 25

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

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