Question

A cylinder has a height that is 5 times as large as its radius. The lateral area of the cylinder is 360π square units. What is the length of the radius of the cylinder?

Could someone walk me through this and help me get the answer?

Answer 1

Let
x----------> the height of the cylinder
y--------> the radius of the cylinder

we know that
[lateral area of the cylinder]=2*pi*r*h------> 2*pi*y*x=360*pi
2*pi*y*x=360------> pi*y*x=180------> equation 1
x=5y -----> equation 2
substitute 2 in 1
pi*y*x=180------> pi*y*5y=180-----> 15.70y²=180----> y²=(180/15.70)
y=√11.46-----> y=3.39 units

the answer is
the length of the radius of the cylinder is 3.39 units