The required height of the cylinder is 8cm.
A cylinder of base radius 4cm. The ratio of the area of it's base to that of it's curved surface area is 1:4. Height of cylinder is to be determine.
What is surface area?
Surface area is defined as the area of the surface that are uncovered.
Here,
area of circle/surface area of cylinder=1/4
πr²/2πrh=1/4
r/2h=1/4
h=2r
where r = 4cm
h = 2*4
h = 8cm
Thus, the required height of the cylinder is 8cm.
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