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Question 2 of 5
A right cone has a slant height of 17 feet, and the diameter of the base is 16
feet. What is the height, h, of the cone?
h
17 ft
16 ft

Question 2 of 5 A right cone has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone? h 17 ft 16 ft class=

Answer :

Answer:

15 ft

Step-by-step explanation:

A right triangle is formed by h, the radius and the slant height

Given diameter = 16, then radius = 16 ÷ 2 = 8

Using Pythagoras' identity in the right triangle with legs h and 8 and hypotenuse the slant height, then

h² + 8² = 17²

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

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

h = [tex]\sqrt{225}[/tex] = 15

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Step-by-step explanation:

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