If you knew that the slant height of the cone= 13cm . and the radius of the cone= 5cm . how would you find the height of the cone?
(1 point)
Step 1
Step 2
Step 3
Step 4
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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
Step 1: Set up the equation using the Pythagorean theorem: radius squared + height squared = slant height squared.
Step 2: Square the radius (5 cm) and the slant height (13 cm) and plug them into the equation.
Step 3: Solve for the height squared by subtracting the radius squared from the square of the slant height.
Step 4: Take the square root of the answer to find the height of the cone which is 12 cm.