Question

Find the surface area of a cylinder with diameter 22 in and height 15 in.

Answer 1

\(\large {
\textit{total surface area of a cylinder}=2\pi r(h+r)
\\ \quad \\
r=radius\to \frac{diameter}{2}\qquad h=height
}\)

Answer 2

so 69 plus 15?

Answer 3

Surface Area Cylinder = (2 • π • r²) + (2 • π • r • height)
radius =11 height = 15
Surface Area Cylinder = 2 * PI * 11² + (2*PI*11*15)
Surface Area Cylinder = 760.2654221687 + 1,036.7255756846
Total = 1796.9909978534
or about 1,797 (rounded)
and to check the calculations, a cylinder calculator:
http://1728.org/diam.htm