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knussoshd3603

26.05.2021

Mathematics

Option B

Surface area of cylinder is 24π square centimeter

Solution:

Given that volume of a cylinder is $16\pi$ cubic centimeter

Radius = 2 cm

To find: surface area of cylinder

The volume of cylinder is given as:

$v = \pi r^2 h$

Where "r" is the radius of cylinder and "h" is the height of cylinder

Substituting v = 16π and r = 2 in above formula,

$16 \pi = \pi (2)^2 \times h\\\\16 = 4h\\\\h = 4$

Thus height of cylinder is 4 cm

The surface area of cylinder is given as:

$S.A = 2 \pi r^2 + 2 \pi r h$

Substituting h = 4 and r = 2 in above formula,

$S.A = 2 \pi (2)^2 + 2 \pi (2)(4)\\\\S.A = 2 \pi (4) + 2 \pi (8)\\\\S.A = 2 \pi (4 + 8)\\\\S.A = 2 \PI (12)\\\\S.A = 24 \PI$

Thus surface area of cylinder is 24π square centimeter

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