Question

I need help with this ​

Answer 1

`Surface\ area = 6728.3125(pi)\\\\Surface\ area = 21137.6171211`

Explanation:

The lateral surface area of an object is the surface area of the subject excluding the base and the top of the 3-dimensional figure. The surface area of the object is the 2-dimensional space of an object, in essence, if one was going to wrap the object, the amount of material they would need to cover the object. To find the lateral surface area of a cylinder, one must find the circumference of the circle at the top of the cylinder, and then multiply it by the height of the cylinder. The circumference of a circle is the distance around it, the perimeter.

The formula one would use is,

`A_s = (pi)(r^2)(h)`

Were (pi) represent the value (3.1415...), (r) represent the radius of the base, that is the distance from the center point of the circle on the base, to the outside distance of the circle. The radius of a circle is always half of the diameter. (h) represents the height of the figure.

`A_s = (pi)(r^2)(h)\\\\= (pi)(((3.5)/(2))^2))(13)\\\\= (pi)(1.75)^2(13)\\\\= (517.5625)(13)(pi)\\\\=(6728.3125)(pi)\\\\= ~21137.6171211`