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Determine the area of the lateral face of the cylinder below. Round your answer to the nearest whole number. Use 3.14 for π.
(1 point)
Responses
30 square inches
30 square inches
94 square inches
94 square inches
251 square inches
251 square inches
817 square inches
To determine the area of the lateral face of a cylinder, you need to calculate the circumference of the base and then multiply it by the height of the cylinder.
Given that the radius of the cylinder is 5 inches and the height is 10 inches, we can first calculate the circumference of the base using the formula:
Circumference = 2πr
Circumference = 2 * 3.14 * 5
Circumference = 31.4 inches
Now, we can calculate the lateral area by multiplying the circumference by the height:
Lateral Area = Circumference * height
Lateral Area = 31.4 * 10
Lateral Area = 314 square inches
Therefore, the area of the lateral face of the cylinder is 314 square inches. Rounding to the nearest whole number, the answer is 314 square inches.
So the closest option is 251 square inches.