Answer: option D is the correct answer.
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