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What is the surface area of a cylinder with a height of 10.6 and a radius of 9.7? (Round your answer to 2 decimal places and with no units in the blank.)

Question

What is the surface area of a cylinder with a height of 10.6 and a radius of 9.7? (Round your answer to 2 decimal places and with no units in the blank.)

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Solution 1

The surface area of a cylinder is given by the formula: 2πr(h + r), where r is the radius and h is the height.

Step 1: Substitute the given values into the formula. In this case, r = 9.7 and h = 10.6.

Surface Area = 2π(9.7)(10.6 + 9.7)

Step 2: Add the values in the parentheses.

Surface Area = 2π(9.7)(20.3)

Step 3: Multiply the values together.

Surface Area = 2 * 3.14 * 9.7 * 20.3

Step 4: Calculate the result.

Surface Area = 1236.202

Step 5: Round the result to two decimal places.

Surface Area = 1236.20

This problem has been solved

Solution 2

The surface area of a cylinder is given by the formula: 2πr(h + r), where r is the radius and h is the height.

Step 1: Substitute the given values into the formula. In this case, r = 9.7 and h = 10.6.

Surface Area = 2π(9.7)(10.6 + 9.7)

Step 2: Calculate the sum inside the parentheses.

Surface Area = 2π(9.7)(20.3)

Step 3: Multiply the numbers together.

Surface Area = 2 * 3.14159 * 9.7 * 20.3

Step 4: Calculate the result.

Surface Area = 1236.97

So, the surface area of the cylinder is approximately 1236.97 square units, rounded to two decimal places.

This problem has been solved

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