Answer:
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
Step-by-step explanation:
