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? Geometry Perimeter, Area, and Volume Perimeter and Area of Non-Standard Shapes 1 Answer sankarankalyanam Aug 4, 2018 #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# Explanation: #"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# Answer link Related questions A rectangle is 12cm longer than its wide. It's perimeter is 68m, how do you find it's length and width? If the area of a square is 225 cm2, what is perimeter? How do you find the perimeter and area of a square with side 6 1/2 in? The length of a rectangle is 3 times its width. If the area of the rectangle is #"192 in"^2#,... A square has a perimeter of 36 inches. What is the area? If a semi circle has a diameter of 4cm then what is the perimeter? A painting measures 12 inches by 16 inches and is surrounded by a frame of uniform width around... A clear plastic prism has six faces, each of which is a parallelogram of side length 1 meter. A... How do you find the area of a trapezoid when you have the length of every side but not the height? The area of a trapezoid is equal to half of the product of the height and sum of the bases. How... See all questions in Perimeter and Area of Non-Standard Shapes Impact of this question 2537 views around the world You can reuse this answer Creative Commons License