Answered

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Find the lateral area for the cylinder with the given measurement.

r = 4, h = 5

40
80
20

Sagot :

KitdaAneek

Answer:

40 π units

Step-by-step explanation:

The formula for the lateral area of a cylinder is:

[tex]\begin{framed}\[\text{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Lateral Area} = 2 \pi r h\]\\\\Where:\\\\\begin{array}{l l}\text{Lateral Area} & \text{The surface area of the side of the cylinder} \\\pi & \text{Pi, a mathematical constant approximately equal to } 3.1415 \\r & \text{The radius of the base of the cylinder} \\h & \text{The height of the cylinder}\end{array}\end{framed}\end{document}[/tex]

Since we are given the height and the radius we can plug this information into the equation above to get the Lateral Area.

Solving:

[tex]\text{Lateral Area} = 2 \pi (4) (5)\\\\\text{Lateral Area} = 2 \pi \times 20\\\\\text{Lateral Area} = 40 \pi\\\\[/tex]

So the Lateral Area is 40 π.

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