what is the length of a cone with a radius of 1 cm, a height of 6 cm, and a hypotenuse of 4 cm

Answer 1

The length of a cone (slant height) can be calculated using the Pythagorean theorem.

The formula is:
length ^ 2 = radius ^ 2 + height ^ 2

Substitute the given values into the formula:
length ^ 2 = 1^2 + 6^2
length ^ 2 = 1 + 36
length ^ 2 = 37

Taking the square root of both sides, we get:
length = √37

Therefore, the length of the cone is approximately 6.08 cm.