Question

find the surface area of this cylinder. use 3.14 for π. do not round your answer. 2 cm 14 cm area of a circle a = πr² what is the area of both circles? both circles: ?cm²

Explanation:

Step1: Recall area formula for one - circle

The formula for the area of a circle is $a=\pi r^{2}$, where $r = 2$ cm and $\pi=3.14$.

Step2: Calculate area of one - circle

Substitute $r = 2$ cm and $\pi = 3.14$ into the formula: $a=3.14\times2^{2}=3.14\times4 = 12.56$ $cm^{2}$.

Step3: Calculate area of two - circles

Since we need the area of both circles, and the two circular bases of a cylinder are congruent, we multiply the area of one - circle by 2. So the area of both circles is $2\times12.56=25.12$ $cm^{2}$.

Answer:

$25.12$ $cm^{2}$