How find the surface area of a cylinder if you know that the radius=10 cm and the height=17 cm?

We have cylinder with the radius of the base (r)= 10cm and the height (h)= 17

To find the surface area for the whole cylinder we need to calculate the area of the bases (2 circular baser) and the area of the cylinder

The area of the bases = pi* r^2   (pi=3.14)

                               = (3.14)*100 = 314 cm^2

But we have 2 bases , then both areas = 2(314)= 628 CM^2

Now we will calculate the surface of the cylinder.

The body of the cylinder is actually a rectangle with length is the height of the cylinder and width is the circumference of the circle.

The circumference of the circle = 2*pi*r= 62.8 cm.

Now the surface area of the rectangle = w*L = 62.8 * 17=1067.6 cm^2

Then the total surface area = 1067.6 + 628 = 1695.6 cm^2