A right cylinder has a radius of 3 cm and a height of 5 cm. Answer the following questions and make sure to show all your work.

(a) Find the Surface Area of the cylinder.

(b) Find the Volume of the cylinder.

(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?

1. Doubling the radius to 6 cm, while the height remains 5 cm.

-OR-

2. Tripling the height to 15 cm, while the radius remains 3 cm.