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The cylinder shown has a lateral surface area of about 400 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi.

The cylinder shown has a lateral surface area of about 400 square inches. Which answer-example-1
The cylinder shown has a lateral surface area of about 400 square inches. Which answer-example-1
The cylinder shown has a lateral surface area of about 400 square inches. Which answer-example-2

2 Answers

5 votes

Answer: 1.59

Explanation:

User Meadowstream
by
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5 votes

The formula for lateral surface of a cylinder is:

SA = 2 *PI * r *h

Replace the letters with the given values:

400 = 2 * PI * r *40

Multiply the right side:

400 = r * 251.2

Divide both sides by 251.2:

r = 400 / 251.2

r = 1.59

The radius is 1.59 inches.

User Lucas L Roselli
by
4.2k points