Up until this point,you have only learned how to calculate surface area
and volume of prisms that have flat sides and edges. Now that you are familiar
with π, you are ready to learn how to work with cylinders, cones, and spheres.Cylinders
The most common cylinderthat you use every day might be a drinking
glass or a soda can. Cylinders are made up of two round bases connected by
a singular tube of parallel sides. The length of the “tube” part of the cylin-
der is considered its height, which is critical in order to calculate the sur-
face area and volume of a cylinder:The surface area of a cylinder is: SA= 2πr^2 + ( 2 πr)(h)Think of an empty paper towel roll cut lengthwise and rolled out to form
a rectangle. Calculating the surface area of a cylinder consists of adding the
two areas for the circle bases (2πr^2 ) to the area of the rectangle “tube.” The
width of that tube is actually the circumference of the circular base (2πr).18
Working with Cylinders,
Cones, and Spheres