The lateral surface area of a cylinder is 80% of its surface area. What is the ratio between the base radius and the height of the cylinder?
+128475 The total surface area is ( 2* pi * r ) ( r + h)
The lateral surface area is (2 * pi * r ) * h = .80 ( 2 * pi * r) ( r + h)
Divide out 2* pi * r from both sides and we have that
h = .80 ( r + h) simplify
h = .80r + .80h
h - .80 h = .80r
.20 h = .80 r divide both sides by .80
(1/4) h = r divide both sides by h
(1/4) = r / h [ the base radius is 1/4 the height ]
