What is the lateral area of a cylinder whose diameter is 4 cm and whose height is three times the radius?

1 Answer
sankarankalyanam
Dec 15, 2017

#L T A = color (purple)75.3982# # cm^2#

Explanation:

Lateral surface area of the cylinder
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Lateral surface area of a cylinder = # 2 pi r h# where #color(red)(r) # is the radius of the base and is #color(red)(h)# is the height of the cylinder.

Height #l = 3 * r = = 3 * 2 = 6 cm#, given l is three of times the radius.

#r = d / 2 = 4 / 2 = 2 cm# , #color(blue)(d)# being the diameter.

Lateral surface area of the cylinder #L T A = 2 * pi * r * h = 2 * pi * 2 * 6 = 24 pi = 75.3982# #cm^2#

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