Question

What is the surface area of the right cone below? (Image Attached Below)
Medals Awarded!!!

Answer 1

To find the surface area first you need to find the height. Here is the formula to find the height. (l is the slant height (13) and r is the radius (4))

Answer 2

Once you know the height you can solve for the surface area using the formula.

Answer 3

okay i got 153 for the height is that correct @KamiBug

Answer 4

Wait, no, Lol, You need the square root of 153 :P

Answer 5

153 isn't a perfect square so you can use this site to help you reduce/simplify it.
http://www.mathwarehouse.com/arithmetic/square-root-calculator.php
\[3\sqrt{17}\] is the height.

Answer 6

Then you will plug the value of the radius and the height into the other formula. But anyways the other formula wants you to square the value of the height so you would just use 153 anyways lol.
\[\pi 4(4+\sqrt{153 +16}\]
Can you solve from here? :)

Answer 7

my final answer was 213.64 @KamiBug i may need your help please

Answer 8

If you look at your options, you see there is a pi sign next to each answer. So when solving it, just ignore the pi sign, leave it there and solve the rest of the formula.
Do what's in parenthesis first.
153+16 is 169
The square root of 169 is 13.
4+13=17
and 4*17=68
We still have the pi sign, so our final answer should be \[68\pi \]