Question

find the surface area of a cylinder with a diameter of 12 inches and height of 10 inches. use the approximation of 3.14 for pi. (1 point)

Explanation:

Step1: Find the radius

The radius \(r\) is half of the diameter. Given diameter \(d = 12\) inches, so \(r=\frac{d}{2}=\frac{12}{2}=6\) inches.

Step2: Recall the surface - area formula for a cylinder

The surface - area formula of a cylinder is \(S = 2\pi r^{2}+2\pi rh\).

Step3: Substitute the values into the formula

Substitute \(r = 6\), \(h = 10\), and \(\pi=3.14\) into the formula:

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Step4: Calculate the final result

\(S=226.08 + 376.8=602.88\)

Answer:

\(602.88\)