Knowing that the area of the base of the cylinder is 4π cm2, we can find the radius of the base:
Sop = πr ^ 2;
r2 = Sb / π = 4π / n = 4;
r = √4 = 2 cm.
Knowing the area of the lateral surface and the radius of the base, we can find the height of the cylinder:
S side = 2 * n * r * h;
h = S side / 2pr = 12p / 4p = 3 cm.
The volume of a cylinder is equal to the product of the area of the base and the height of the cylinder:
V = Sbn * h = 4p * 3 = 12p cm3.
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