a right cylinder has a diameter of 10 inches and a height of 15 inches. What is the surface area of the cylinder?

Chight = Cylinder hight

 

Tsurface = surface of the circular disk on top = PI * Diameter^2/4 = PI * 25in^2

Bsurface = surface of the circular disk at the bottom = PI * Diameter^2/4 = = PI * 25in^2

Lsurface = lateral surface of the cylinder = Chight * PI * Diameter =  15in * PI *10in = PI *150in^2

 

Cylinder surface=Tsurface + Bsurface + Lsurface = PI * 25in^2 + PI * 25in^2 + PI *150in^2 = PI * 200in^2