Height is half the diameter. Express the total surface area of a cylinder as a function of radius.

Answer 1

We know that radius is half of the diameter, so:

h = 1/2 d = r

A = 2 π r² + 2 π r h

A = 2 π r² + 2 π r*r = 2 π r² + 2 π r² = 4 π r² 

A = 4 π r²