Find the lateral surface of the cylinder. Round your answer to the nearest tenth
(please help ;-;)
![Find the lateral surface of the cylinder Round your answer to the nearest tenth please help class=](https://us-static.z-dn.net/files/dc8/f52c6ede8244e83cbec262145f6b6ff7.jpg)
Answer:
1005.3 ft²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex] where [tex]r[/tex] is the radius of the base and [tex]h[/tex] is the height
Plug in the radius, 10 ft and the height, 6 ft
[tex]SA=2\pi (10)^2+2\pi (10)(6)\\SA=2\pi (100)+2\pi (60)\\SA=200\pi+120\pi\\SA=320\pi[/tex]
[tex]SA = 1005.3[/tex] when rounded to the nearest 10th
I hope this helps!