Question

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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(4 points)

Step 1

Step 2

Step 3

Step 4

Answer 1

Step 1: Use the Pythagorean Theorem to find the height of the cone. The slant height, radius, and height of the cone form a right triangle. So, we have:

height^2 + radius^2 = slant height^2
height^2 + 5^2 = 13^2
height^2 + 25 = 169

Step 2: Subtract 25 from both sides to isolate height^2:

height^2 = 169 - 25
height^2 = 144

Step 3: Take the square root of both sides to solve for the height:

height = √144
height = 12 cm

Step 4: The height of the cone is 12 cm.