use the image to answer the question
find the length of the height of the cone
the radius of the cone is 5^2 cm
the height is 10^2
a^2 + b^2 = c^2
find the length of the height of the cone.
To find the length of the height of the cone, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
In this case, the radius of the cone (a) is given as 5^2 cm, which equals 25 cm. The height of the cone (b) is given as 10^2 cm, which equals 100 cm. We need to find the length of the height of the cone (c).
Using the Pythagorean theorem, we can substitute the given values into the equation:
a^2 + b^2 = c^2
25 cm^2 + 100 cm^2 = c^2
125 cm^2 = c^2
To solve for c, we take the square root of both sides:
√(125 cm^2) = √(c^2)
11.18 cm = c
Therefore, the length of the height of the cone is approximately 11.18 cm.