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Renata is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 12.8 in. and a radius of 15.1 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator

Verified Answer :

wolf1728

Lateral Surface Area of a Cylinder = (2 • π • r • height)

Surface Area = 2 PI 15.1 * 12.8

= 1,214.4 square inches




JeanaShupp

Answer: \(1214\text{ in.}^2\)

Step-by-step explanation:

Given: Height of cylinder = 12.8 in.

The radius of the cylinder = 15.1 in.

We know that the lateral surface area of a cylinder is given by :-

\(LA=2\pi r h\)

Now, the lateral surface area of the given cylinder is given by :-

\(LA=2(3.14)(15.1)(12.8)\\\\\Rightarrow\ LA=1213.7984\approx1214\text{ in.}^2\)

Hence, she need \(1214\text{ in.}^2\) of fabric for this project.

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