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

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

its an acute right triangle

step-by-step explanation:

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1