The radius of a cylinder is 6.0 inches and the height is 9.0 inches.

Question

a. What is the surface area of the cylinder?

b. What is the volume of the cylinder?

c. If the cylinder is enlarged by a linear scale factor of 3, what is the volume of the enlarged cylinder? How do you know?

Answer 1

a. Surface area not including bases = 2 π r h = 2 π (6) (9) = 339.3 in²

Surface area including bases = 2 π r h + 2 π r² = 339.3 + 2 π (6)² = 565.5 in²

b. Volume = Area x height = π r² x h = π (6)² x 9 = 1,017.9 in³

c. New Volume = Old Volume x 3³ = 27.482.7 in³ because each dimension is 3 times larger.