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?

The height of the cone is 18.79 ft.

Step-by-step explanation:

Given,

The slant height (l) of the cone = 17 ft

The diameter = 16 ft

So, the radius (r) = 8 ft

To find the height (h) of the cone.

Formula

By Pythagoras theorem,

Perpendicular²+ base² = height²

Now,

Height² = 17²+8²

= 289+64

= 353

h = - 18.7888 = 18.79 (approx)

Hence,

The height of the cone is 18.79 ft.

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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