what is the surface area of this cylinder? use $piapprox3.14$ and round your answer to the nearest…
what is the surface area of this cylinder? use $piapprox3.14$ and round your answer to the nearest hundredth. square feet
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 radius and height
Given that $r = 20$ ft and $h = 20$ ft.
Step3: Calculate the area of the two bases
The area of one base is $A_{base}=\pi r^{2}$. For two bases, $A_{bases}=2\pi r^{2}=2\times3.14\times20^{2}=2\times3.14\times400 = 2512$ square feet.
Step4: Calculate the lateral - surface area
The lateral - surface area is $A_{lateral}=2\pi rh=2\times3.14\times20\times20 = 2512$ square feet.
Step5: Calculate the total surface area
$S=A_{bases}+A_{lateral}=2512 + 2512=5024.00$ square feet.
Answer:
$5024.00$