Question

what is the surface area of the cylinder with height 5 yd and radius 5 yd? round your answer to the nearest thousandth.

Explanation:

Step1: Recall the formula for the surface area of a cylinder

The formula for the surface area of a cylinder is \(S = 2\pi r(r + h)\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 5\) yd and \(h = 5\) yd. Substitute into the formula: \(S=2\pi\times5\times(5 + 5)\).

Step3: Simplify the expression

First, calculate \(5+5 = 10\). Then \(S=2\pi\times5\times10=100\pi\).

Step4: Calculate the numerical value

Using \(\pi\approx3.14159265\), we get \(S\approx100\times3.14159265 = 314.159265\).

Answer:

\(314.159\)