raedusty3200
26.03.2021 •
Mathematics
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
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Ответ:
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 = = 15
Ответ: