Question

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. 12π square units 24π square units 60π square units 72π square units

Explanation:

Step1: Find the radius of the base

The area formula of a circle is $A = \pi r^{2}$. Given $A = 36\pi$, then $\pi r^{2}=36\pi$. Divide both sides by $\pi$: $r^{2}=36$, so $r = 6$.

Step2: Calculate the lateral - area formula

The lateral - area formula of a cylinder is $L = 2\pi rh$. Substitute $r = 6$ and $h = 2$ into the formula: $L=2\pi\times6\times2$.

Step3: Simplify the expression

$L = 24\pi$.

Answer:

B. $24\pi$ square units