What is the surface area of the cylinder?

Diameter: 10 inches
Height: 25 inches

3 answers

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the base and h is the height of the cylinder.

First, we need to find the radius of the cylinder. We know that the diameter is 10 inches, so the radius is half of that:

r = 10 / 2 = 5 inches

Now we can plug in the values for r and h into the formula:

SA = 2π(5)² + 2π(5)(25)
SA = 2π(25) + 2π(125)
SA = 50π + 250π
SA = 300π

So the surface area of the cylinder is approximately 942.48 square inches (if we use π ≈ 3.14159).
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