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A cylinder has a height of 10 cm and a radius of 2 cm. What is the lateral surfa

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Question: A cylinder has a height of 10 cm and a radius of 2 cm. What is the lateral surface area of the cylinder?

Options:

  1. 40π cm²
  2. 20π cm²
  3. 30π cm²
  4. 10π cm²

Correct Answer: 40π cm²

Solution: 

Lateral Surface Area = 2πrh = 2 * π * 2 * 10 = 40π cm².

A cylinder has a height of 10 cm and a radius of 2 cm. What is the lateral surfa

Practice Questions

Q1
A cylinder has a height of 10 cm and a radius of 2 cm. What is the lateral surface area of the cylinder?
  1. 40π cm²
  2. 20π cm²
  3. 30π cm²
  4. 10π cm²

Questions & Step-by-Step Solutions

A cylinder has a height of 10 cm and a radius of 2 cm. What is the lateral surface area of the cylinder?
  • Step 1: Identify the formula for the lateral surface area of a cylinder, which is Lateral Surface Area = 2πrh.
  • Step 2: Identify the values needed for the formula: the radius (r) is 2 cm and the height (h) is 10 cm.
  • Step 3: Substitute the values into the formula: Lateral Surface Area = 2 * π * 2 * 10.
  • Step 4: Calculate the multiplication: 2 * 2 = 4 and then 4 * 10 = 40.
  • Step 5: Write the final answer with π: Lateral Surface Area = 40π cm².
  • Lateral Surface Area of a Cylinder – The lateral surface area of a cylinder is calculated using the formula 2πrh, where r is the radius and h is the height.
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