Question

6.4 volume and surface area of cylinders
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question
what is the surface area of the cylinder with height 7 cm and radius 8 cm? round your answer to the nearest thousandth.
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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: Substitute given values

Given $r = 8$ cm and $h = 7$ cm. First, calculate $2\pi r^{2}$: $2\pi(8)^{2}=2\pi\times64 = 128\pi$. Then calculate $2\pi rh$: $2\pi\times8\times7=112\pi$.

Step3: Add the two parts

$S=128\pi + 112\pi=240\pi$.

Step4: Calculate the numerical value

Using $\pi\approx3.14159$, $S = 240\times3.14159 = 753.9816$.

Step5: Round to the nearest thousandth

$S\approx753.982$ $cm^{2}$.

Answer:

$753.982$