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?

Question

2565 views around the world

You can reuse this answer
Creative Commons License

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#