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.

can you give me more detail on this! ?

step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~