The cones are similar:
Small Cone:
Radius: 5
Length: 15
Large Cone:
Radius: ?
Length: 18
What is the radius of the larger Cone?
Would it be 8?
Since they are similar, the ratio of the radius to the length will be the same for both cones.
To determine the radius of the larger cone, we can use the concept of similarity between the two cones. In similar objects, corresponding sides or dimensions are proportional to each other.
In this case, we can set up a proportion between the radii of the small and large cones:
Small Cone Radius / Large Cone Radius = Small Cone Length / Large Cone Length
Plugging in the values given, we get:
5 / Large Cone Radius = 15 / 18
To solve for the radius of the large cone, we can cross-multiply:
(5 * 18) = (15 * Large Cone Radius)
90 = 15 * Large Cone Radius
Next, isolate the Large Cone Radius by dividing both sides of the equation by 15:
90 / 15 = Large Cone Radius
Large Cone Radius = 6
Therefore, the radius of the larger cone is 6, not 8.