Question

find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. leave your answer in terms of π.
51π cm²
60π cm²
91π cm²
140π cm²

Explanation:

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

The formula for the total 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 \(r = 3\) cm and \(h=7\) cm. Substitute into \(S = 2\pi r(r + h)\):

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Answer:

\(60\pi\mathrm{cm}^2\)