The radius of the base of a right circular cone is 7 times greater than the radius of another 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. 7

B. 14

C. 28

D. 49

Answer: option D is the correct answer.

Step-by-step explanation:

Let the height of both cones be h

The radius of the base of a right circular cone is 7 times greater than the radius of another right circular cone. If the radius of the smaller cone is r, then the radius of the larger cone is 7r.

The formula for determining the volume of a cone is expressed as

Volume = 1/3 (πr²h)

Volume of the smaller cone is

1/3 (πr²h)

Volume of the larger cone is

1/3 (π * (7r) ²h)

= 1/3 (π * 49r²h)

the volume of the larger cone divided by the volume of the smaller cone is

1/3 (π * 49r²h) / 1/3 (πr²h) = 49/1 = 49