If the volume of a cylinder is 16π cm3 with radius of 2 cm, what is the surface area of the cylinder? (in terms of π)
a) 12π cm2
b) 24π cm2
c) 32π cm2
d) 36π cm2

Option B

Surface area of cylinder is 24π square centimeter

Solution:

Given that volume of a cylinder is cubic centimeter

Radius = 2 cm

To find: surface area of cylinder

The volume of cylinder is given as:

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

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

Thus height of cylinder is 4 cm

The surface area of cylinder is given as:

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

Thus surface area of cylinder is 24π square centimeter

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept