Question

The traffic cone is 19 inches tall & has a radius of 5 inches. Find the surface area.

Answer 1

Hi and welcome to OpenStudy! :)

First off we're going to want to know the surface area of a cone and that is:\[SA = \Pi r(r+\sqrt{h^2+r^2)}\]

Answer 2

Where r is the radius and h is the height

So we plug in the numbers where they go and solve!

Answer 3

\[SA = \Pi (5)(5+\sqrt{(16^2+5^2)}\]

Answer 4

16^2 we know is 256
and 5^2 is 25 so :\[SA = \Pi (5)(5+\sqrt{(256+25)}\]

Answer 5

256 +25 is 281 and the square root of 281 is about 16.76 and 16.76+5 is 21.76 so now we have this: \[SA = \Pi (5)(21.76)\]

Answer 6

So our surface area is about: \[SA = 108.82 \Pi \]

Which is also 341.85 in^2