The area of each of the two circles is \(\pi r^2\)and the area of the rectangle is \(2 \pi r \times h\). The surface area of a cylinder is the area of each of its faces added together.

A cylinder is not a prism because the circle is not a polygon. Image caption, The total surface area of a prism is made up of the areas of the two end faces and the rectangles that join them.

Sarah and Robbie are out of their depth when trying to buy a new tank for their terrapins. How can they find out if the new tank has the same volume as the old one? Fortunately, Maths Crimes ...