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

Question

marissalovescats · Answer

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

marissalovescats · Answer

Where r is the radius and h is the height 

So we plug in the numbers where they go and solve!

marissalovescats · Answer

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

marissalovescats · Answer

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

marissalovescats · Answer

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: $$SA = \Pi (5)(21.76)$$

marissalovescats · Answer

So our surface area is about: $$SA = 108.82 \Pi $$

Which is also 341.85 in^2