Question

A right come has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone?

Answer 1

Answer:

h = 15 feet

Step-by-step explanation:

A right triangle is formed by the slant height, the radius of the base and h, with the slant height being the hypotenuse.

Using Pythagoras' theorem in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

Since base diameter = 16 then radius = 8

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = $\sqrt{225}$ = 15