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.)
Solution
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
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