Question

6. Find the surface area of the cone below. Round to two decimal places.

A
650.94 in sq
B
207.20 in sq
C
377.73 in sq

Answer 1

650.94 in sq

Explanation:

The surface area of a cone has the formula:

`SA=\pi r (r+√(h^2+r^2) )`

So, we need "r", the radius of the cone, and "h", the height of the cone.

The radius is given as "8" but height we have to find using pythagorean theorem.

So, let height be "h" and we can write:

`8^2+h^2=17.9^2`

Solving for h:

`8^2+h^2=17.9^2\\h=√(17.9^2-8^2)\\h=16.01`

Now, substituting into formula for surface area, we get:

`SA=\pi r (r+√(h^2+r^2) )\\SA=\pi (8) (8+√(16.01^2+8^2) )\\SA=650.87`

From the answer choices, first one is right (closest). Change due to roundings.