what is the surface area of the cylinder? use π ≈ 3.14 and write your answer as a decimal rounded to the…
what is the surface area of the cylinder? use π ≈ 3.14 and write your answer as a decimal rounded to the nearest tenth. about square centimeters
Answer
Explanation:
Step1: Recall surface - area formula
The surface - area formula of a cylinder is $S = 2\pi r^{2}+2\pi rh$, where $r$ is the radius and $h$ is the height.
Step2: Identify values of $r$ and $h$
Given $r = 12$ cm and $h = 6$ cm.
Step3: Calculate the area of the two bases
The area of one base is $A_{base}=\pi r^{2}$. For two bases, $A_{bases}=2\pi r^{2}=2\times3.14\times12^{2}=2\times3.14\times144 = 904.32$ $cm^{2}$.
Step4: Calculate the lateral - surface area
The lateral - surface area is $A_{lateral}=2\pi rh=2\times3.14\times12\times6 = 452.16$ $cm^{2}$.
Step5: Calculate the total surface area
$S=A_{bases}+A_{lateral}=904.32 + 452.16=1356.48\approx1356.5$ $cm^{2}$.
Answer:
$1356.5$