The lateral area is 32π sqcm and the surface area of the cylinder is 4096π² sqcm.
<h3>What is a right cylinder?</h3>
A right cylinder is a cylinder whose sides are perpendicular to its base.
It is given that-.
circumference of cylinder = 16 π cm
Suppose, r is radius of the cylinder,
h is height of the cylinder.
Then,
⇒ 2 π r = 16 π
⇒ r = 8 cm.
It is also given that,
height = 1/2radius
⇒ h = 1/2r
⇒ h = 1/2 * 8 cm
⇒ h = 4 cm
Now,∵ lateral area of cylinder = 2 π r h
∴ lateral area of cylinder = 16* π * 4
⇒ lateral area of cylinder = 32π sqcm.
Similarly, surface area of the cylinder = 2 π r h * 2 π r²
⇒ surface area of the cylinder = 2 π r h * 2 π (8)²
⇒ surface area of the cylinder = 32π * 2 π 64
⇒ surface area of the cylinder = 4096 * π² sqcm
Hence,the lateral area is 32π sqcm and the surface area of the cylinder is 4096π² sqcm.
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