Starting with the Lateral Area, the formula for that is [tex] LA=2\pi rh [/tex], with r = radius and h = height. To get the radius, just divide the diameter, which is 6 in this case, by 2, which will result in 3. Using this info, we can form our equation, which is [tex] LA=2\pi* 3*10 [/tex]
With this equation, just multiply everything together, and your result will be [tex] LA=60\pi [/tex]
With the surface area, its formula is [tex] SA = LA + 2\pi r^2 [/tex] . Using our previous info, we can form the equation [tex] SA=60\pi +2\pi 3^2 [/tex]
Firstly, you need to solve the exponents and multiply the result of such by 2 pi. Your equation will look like this:[tex] SA=60\pi +18\pi [/tex]
Lastly, add up the remaining numbers, and your answer should be [tex] SA=78\pi [/tex]
In short, the Lateral Area is 60 pi m^2 and the Surface Area is 78 pi m^2.
