What’s the Lateral Surface Area of a cylinder with radius 9.6 meters and height 7 meters?

Lateral surface area is the surface area of an object, excluding the area of the base(s).

So the formula for the lateral surface area of a cylinder would be: $${\mathtt{A}} = {\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{r}}{\mathtt{\,\times\,}}{\mathtt{h}}$$ where r is radius of the circular base and h is the height.

Start by substituting in the values for r and h. And for this problem, pi will be the approximate value of 3.14

$${\mathtt{A}} = {\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{3.14}}{\mathtt{\,\times\,}}{\mathtt{9.6}}{\mathtt{\,\times\,}}{\mathtt{7}} \Rightarrow {\mathtt{A}} = {\mathtt{422.016}}$$

 

The lateral S.A. of the cylinder would be  about 422 meters².

 

Another way would be to think of the lateral surface area of the cylinder as the circumference of the base circle, multiplied by the height of the cylinder.

A cylinder is like stacking a bunch of circles together, so the surface area of the cylinder would be the circumferences of all the circles added together. Adding the circumferences together multiple times would be equivalent to multiplying them by the height of the cylinder.

So another way to find the lateral surface area of a cylinder would be:

$${\mathtt{A}} = {\mathtt{C}}{\mathtt{\,\times\,}}{\mathtt{h}}$$ where C is the circumference of the base and h is the height:)