If you knew that the slant height of the cone = 13 cm, and the radius of the cone = 5 cm, how would you find the height of the cone?

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Answers:
Set up the equation 5^2 + h^2 = 13^2
square 5 and 13 to get 25 + h^2 = 169
subtract 25 from both sides to get h^2 = 144
take the square root of both sides h = 12 cm

1 answer

To find the height of the cone using the slant height and the radius, you can follow these steps:

Step 1: Set up the equation \(5^2 + h^2 = 13^2\)

Step 2: Square 5 and 13 to get \(25 + h^2 = 169\)

Step 3: Subtract 25 from both sides to get \(h^2 = 144\)

Step 4: Take the square root of both sides \(h = 12 , \text{cm}\)

This gives you the height of the cone as 12 cm.