A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the total surface area of the tank (including the top and bottom)?

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Q: A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the total surface area of the tank (including the top and bottom)?

Solution: Total surface area = 2πr(h + r) = 2π(3)(5 + 3) = 2π(3)(8) = 48π ≈ 150.8 m².

Steps: 8

Step 1: Identify the formula for the total surface area of a cylinder, which is Total surface area = 2πr(h + r).
Step 2: Identify the values needed for the formula: the radius (r) is 3 meters and the height (h) is 5 meters.
Step 3: Substitute the values into the formula: Total surface area = 2π(3)(5 + 3).
Step 4: Calculate the value inside the parentheses: 5 + 3 = 8.
Step 5: Substitute this value back into the formula: Total surface area = 2π(3)(8).
Step 6: Multiply the numbers: 2 * 3 * 8 = 48.
Step 7: The total surface area is 48π square meters.
Step 8: If needed, approximate π as 3.14 to find the numerical value: 48 * 3.14 ≈ 150.8 m².