A cylinder has a circumference of #12pi# cm and height that is half the radius. What is the total surface area of the cylinder?

1 Answer
SCooke
Dec 28, 2017

#A = 339.3 cm^2#

Explanation:

The equation for the circumference is #C = 2pir#, so the radius #r# is #12pi = 2pir#; #r = 6#.
Then the height is #h = 1/2r = 6/2 = 3#

The equation for the area of a cylinder is:
#A =2pir(r+h)#

#A =2pi(6)(6+3) = 339.3#

Related questions
Impact of this question
3135 views around the world
You can reuse this answer
Creative Commons License