Math 8 th grade

Question

A right cone has a slant of 17 feet the diameter of the base is 16 feet how high is the cone

Answer 1

cone is 15 feet high

Use the Pythagorean Theorem

17^2 = 15^2 + (16/2)^2

289 = 225 + 64

289 = 289

construct a right triangle with base = 1/2 of the diameter = 16/2 = 8 feet

hypotenuse = 17

17^2 = 8^2 + h^2

h^2 = 17^2 -8^2 = 289-64 = 225

h = square root of 225 = 15 feet = the cone's height