Draw a cylinder on your paper. Assume the radius of the cylinder is
What is the surface area of the cylinder? What is the volume?
The surface area of a cylinder is the sum of the areas of its top base, its bottom base, and its lateral surface.
If the cylinder is enlarged with a linear scale factor of
, what is the volume of the enlarged cylinder? How do you know?
How does increasing the scale by
affect the volume? What must you multiply the volume by to determine the new volume?