What is the height of a right circular cone with a slop of 17cm a height of 15cm and a diameter of 16 cm

Answer 1

To find the height of the cone, we can use the Pythagorean theorem as follows:

Let r be the radius of the cone, which is half of the diameter: r = 16/2 = 8 cm

Let h be the height of the cone.

From the given information, we have:
s = 17 cm (slant height)
h = 15 cm

Using the Pythagorean theorem:
s^2 = r^2 + h^2
17^2 = 8^2 + 15^2
289 = 64 + 225
289 = 289

Therefore, the height of the cone is 15 cm.