The area of the circular base of a cylinder is 36π square units. The height of the cylinder is 2 units. What is the lateral area of the cylinder? Express the answer in terms of π. a. 12π square units b. 24π square units c. 60π square units d. 72π square units

We are asked to solve for the lateral area of the cylinder and the formula is shown below:

Lateral area = 2*pi*r*h

We are also given with the area of the base such as:

Area of the base = 36pi square units

Area of the base = pi*r²

Solving for radius:

36pi = pi*r²

r=6 inches

Solving for the lateral area when height is 2 units:

Lateral area = 2*pi*6*2

Lateral area = 24pi inches²

The answer is the letter "B" 24 square units.