QUESTION IMAGE
Question
surface area of cylinders quick check
find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. use the approximation 3.14 for pi. (1 point)
471 square inches
314 square inches
345.4 square inches
471 inches
Step1: Recall the formula for the surface area of a cylinder
The formula for the surface area of a cylinder is \(S = 2\pi r^{2}+2\pi rh\), where \(r\) is the radius and \(h\) is the height.
Step2: Substitute the given values into the formula
Given \(r = 5\) inches and \(h=10\) inches, and \(\pi = 3.14\).
First, calculate \(2\pi r^{2}\):
$$
LATEXBLOCK0
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Next, calculate \(2\pi rh\):
$$
LATEXBLOCK1
$$
Step3: Add the two results together
$$
LATEXBLOCK2
$$
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471 square inches