Which is closest to the surface area of a cylinder with measurements as shown?

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03-11-2022
Mathematics

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Which is closest to the surface area of a cylinder with measurements as shown?

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DeepikaZ255114 DeepikaZ255114 · Answer 1 · 2022-11-03T20:19:09-04:00

DeepikaZ255114 DeepikaZ255114

03-11-2022

The surface area of a cylinder is calculated as follows:

[tex]A=2\pi rh+2\pi r^2[/tex]

where r is the radius and h is the height of the cylinder. Substituting with r = 4 units and h 5 units, we get:

[tex]\begin{gathered} A=2\cdot\pi\cdot4\cdot5+2\cdot\pi\cdot4^2 \\ A=40\pi+32\pi \\ A=72\pi \\ A\approx226\text{ }square\text{ units} \end{gathered}[/tex]

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