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A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is th

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Question: 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)?

Options:

  1. 56.52 m²
  2. 94.25 m²
  3. 75.40 m²
  4. 37.68 m²

Correct Answer: 94.25 m²

Solution: 

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

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is th

Practice Questions

Q1
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)?
  1. 56.52 m²
  2. 94.25 m²
  3. 75.40 m²
  4. 37.68 m²

Questions & Step-by-Step Solutions

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)?
  • 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.
  • Surface Area of a Cylinder – The total surface area of a cylinder is calculated using the formula 2πr(h + r), where r is the radius and h is the height.
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