If a cylinder has a height that is 2 times as large as its radius, and the lateral area of the cylinder is 16pi square units, then what is the length of the radius of the cylinder?

Question

jhonyy9 · Answer

formula for lateral area of cylinder is = 2pir*h
so in this case you know that the lateral area is 16pi and that h=2r ,
this mean that you can writing 

16 = 2pir*2r
16=4pir^2   divide both sides by 4
4=pir^2  divide both sides by pi

4/pi = r^2

1,27 =r^2

r=sqrt(1,27)

r= 1,12