Question

Find the slant height of the cone to the nearest whole number. 16 in, 11 in,

Answer 1

Using the Pythagorean theorem, we can find the slant height of the cone.

Let the height of the cone be h and the radius be r.

We know that the slant height (l) of the cone, the height (h), and the radius (r) form a right triangle with l as the hypotenuse.

Using the Pythagorean theorem, we can write:

l^2 = r^2 + h^2

Substitute the given values:

16^2 = 11^2 + h^2

256 = 121 + h^2

h^2 = 256 - 121

h^2 = 135

h ≈ √135

h ≈ 11.62 inches

Therefore, the slant height of the cone to the nearest whole number is 12 inches.