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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 surface area of the tank (including the top and bottom)?

Options:

  1. 56.52 m²
  2. 94.25 m²
  3. 113.10 m²
  4. 78.54 m²

Correct Answer: 94.25 m²

Solution: 

Surface Area = 2πr(h + r) = 2 * π * 3 * (5 + 3) = 2 * 3.14 * 3 * 8 = 150.72 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 surface area of the tank (including the top and bottom)?
  1. 56.52 m²
  2. 94.25 m²
  3. 113.10 m²
  4. 78.54 m²

Questions & Step-by-Step Solutions

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the surface area of the tank (including the top and bottom)?
  • Step 1: Identify the formula for the surface area of a cylinder, which is 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: Surface Area = 2 * π * 3 * (5 + 3).
  • Step 4: Calculate the value inside the parentheses: (5 + 3) = 8.
  • Step 5: Now the formula looks like this: Surface Area = 2 * π * 3 * 8.
  • Step 6: Calculate 2 * 3 = 6.
  • Step 7: Now multiply 6 by 8: 6 * 8 = 48.
  • Step 8: Finally, multiply 48 by π (approximately 3.14): 48 * 3.14 = 150.72.
  • Step 9: The surface area of the tank is 150.72 square meters.
  • Surface Area of a Cylinder – The formula for the surface area of a cylinder includes the lateral area and the area of the two circular bases.
  • Application of Formulas – Understanding how to correctly apply the surface area formula for a cylinder, including the correct values for radius and height.
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