A right cylinder has a circumference of 16π cm. Its height is half the radius. What is the lateral area and the surface area of the cylinder rounded to the nearest tenth?

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Answer 1 · 2018-08-04T06:01:50

#color(green)(L S A " of cylinder " = 2 pi r h = 64pi ~~ 201.1cm^2#

#color(chocolate)(T S A = L S A + A_(tb) = 64pi + 128 pi = 192 pi ~~ 603.2 cm^2#

#"Circumference " = C = 2 pi r = 16 pi cm#

#r = 16 / 2 = 8 cm#

#"Height " h = r/2 = 8 / 2 = 4cm#

#"Lateral Surface Area of cyl. " L S A = 2 pi r h = 2 pi * 8 * 4= 64pi cm^2 ~~ 201.1 cm^2#

#"Top+Bottom Area of cyl" = A_(tb) = 2 pi r^2 = 2 pi 8^2 = 128pi cm^2#

#"Total Surface Area of cyl" = T S A = L S A + A_(tb) #

#T S A = 64pi + 128pi = 192 pi ~~ 603.2 cm^2#