I want to know how to calculate the radius, Im very confused.
The cones below are similar, although not drawn to scale
(smaller cone) (larger cone)
height is 12 ft height is 15 ft
radius is 8 ft radius not given
What is the lenght of the radius of the larger cone?
a= 10ft
b=11ft
c=12ft
d=13ft
very simple, no need for surface area and such ...
r : 8 = 15 :12 , since the sides of similar shapes are proportional
r/8 = 15/12 = 5/4
4r = 40
r = 10
yep just took test it's 10
What Is the surface area of the larger cone then I can give the answer
It doesnt say.
well then I'm sorry I can not answer your question. I need the height (which you gave me) and the surface area.
how do i find the surface area, all i have is the height :(
How to Find the Surface Area of Cones - If You Know the Radius and Slant Height
Set up the formula for the surface area of the cone.
Plug the value of the radius into the formula.
Plug the value of the slant height into the formula.
Calculate the lateral surface area of the cone ( (π) (r) (s) {display style (pi ) (r) (s)})
I cant really help you as much as a teacher can because I'm a student myself
To calculate the radius of the larger cone, we can set up a proportion based on the similarity of the cones. Since the smaller cone has a height of 12 ft and a radius of 8 ft, we can use the ratio of height to radius of the smaller cone to solve for the radius of the larger cone.
The ratio of height to radius for the smaller cone is 12 ft/8 ft = 3/2.
Now, let's set up a proportion using the ratio we found:
(height of larger cone) / (radius of larger cone) = (height of smaller cone) / (radius of smaller cone)
Let's substitute the given values:
(15 ft) / (radius of larger cone) = (12 ft) / (8 ft)
Now, we can cross-multiply and solve for the radius of the larger cone:
(15 ft) * (8 ft) = (12 ft) * (radius of larger cone)
120 ft = (12 ft) * (radius of larger cone)
To isolate the radius of the larger cone, we divide both sides of the equation by 12 ft:
120 ft / 12 ft = (12 ft) * (radius of larger cone) / 12 ft
10 ft = radius of larger cone
Therefore, the length of the radius of the larger cone is 10 ft.
Looking at the options provided, the correct answer would be a) 10 ft.