SOLUTION: The surface area, S, of a cone of radius r and h can be found using the formula S=πr√r^2+h^2. What is the height of this cone? S= 225 cm^2 r= 5 cm

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Question 1117077: The surface area, S, of a cone of radius r and h can be found using the formula S=πr√r^2+h^2. What is the height of this cone?
S= 225 cm^2
r= 5 cm

Found 3 solutions by Boreal, Alan3354, ankor@dixie-net.com:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
225=pi*r (r+sqrt(r^2+h^2)
225=5 pi(5+sqrt(h^2+25)
divide both sides by 5 pi
14.324=5+sqrt(h^2+25)
9.324=sqrt(h^2+25)
86.84=h^2+25, after squaring both sides
61.84=h^2
h=7.86 cm

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
the formula . What is the height of this cone?
S= 225 cm^2
r= 5 cm
--------------

Solve for h
==========================================
Now what?
2 "solutions," 2 different numbers.
You might have to do it, and learn how to do it.
Both of them show you how to do it.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
The surface area, S, of a cone of radius r and h can be found using the formula

What is the height of this cone?
S= 225 cm^2
r= 5 cm
:

divide both sides by 5

divide both sides by pi

square both sides



h =
h = 13.43 cm

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