The area of the circular base of a cylinder is 36 pi square units. The height of the cylinder is 2 units. What is the lateral area of the cylinder? Express the answer in terms of pi

The base area is πr² = 36π, so r² = 36 and the radius is 6 units. The cylinder’s lateral area is circumference times height: 2πrh = 2π(6)(2) = 24π square units, so the answer is 24π square units.

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