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

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

Options:

  1. 40π cm³
  2. 20π cm³
  3. 30π cm³
  4. 10π cm³

Correct Answer: 40π cm³

Solution: 

Volume = πr²h = π * 2² * 10 = π * 4 * 10 = 40π cm³.

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

Practice Questions

Q1
A cylinder has a height of 10 cm and a radius of 2 cm. What is the volume of the cylinder?
  1. 40π cm³
  2. 20π cm³
  3. 30π cm³
  4. 10π cm³

Questions & Step-by-Step Solutions

A cylinder has a height of 10 cm and a radius of 2 cm. What is the volume of the cylinder?
  • Step 1: Identify the formula for the volume of a cylinder, which is Volume = πr²h.
  • Step 2: Identify the values given: height (h) = 10 cm and radius (r) = 2 cm.
  • Step 3: Substitute the radius into the formula: r² = 2² = 4.
  • Step 4: Now substitute r² and h into the volume formula: Volume = π * 4 * 10.
  • Step 5: Multiply 4 by 10 to get 40: Volume = 40π cm³.
  • Volume of a Cylinder – The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.
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