What is the length of the radius of the larger cone? The cones are similar.
the smaller cone has a radius of 5 and is 15ft.
The larger one is only 18ft
5
6 My answer
7
8
not quite sure what you're saying about the cones, but yes,
5/6 = 15/18
So is it 6?
Yep
:)
i already took it, it is 100% 6 so great job figuring that out @Enna. But i got it wrong so i need the explanation.
Well, if the smaller cone is 15ft tall and has a radius of 5ft, we can use that information to find the scale factor between the two cones. Taking the ratio of heights, we get 15/18, which simplifies to 5/6.
So, if the radius of the smaller cone is 5ft, we can multiply that by the scale factor of 5/6 to find the radius of the larger cone.
5 * (5/6) = 25/6, which simplifies to approximately 4.17ft.
So, the length of the radius of the larger cone is approximately 4.17ft. Now that's a "radiusly" good answer!
To find the length of the radius of the larger cone, you can use the concept of similar triangles.
First, let's set up a proportion using the radii of the two cones:
(radius of larger cone) / (radius of smaller cone) = (height of larger cone) / (height of smaller cone)
(radius of larger cone) / 5 = 18 / 15
Now, cross-multiply and solve for the radius of the larger cone:
(radius of larger cone) = (18 / 15) * 5
(radius of larger cone) = 6
Therefore, the length of the radius of the larger cone is 6 feet.