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What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

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Question: What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Options:

  1. 45π cm³
  2. 30π cm³
  3. 60π cm³
  4. 15π cm³

Correct Answer: 45π cm³

Solution: 

Volume = πr²h = π * 3² * 5 = 45π cm³.

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Practice Questions

Q1
What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?
  1. 45π cm³
  2. 30π cm³
  3. 60π cm³
  4. 15π cm³

Questions & Step-by-Step Solutions

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?
  • Step 1: Identify the formula for the volume of a cylinder, which is Volume = πr²h.
  • Step 2: Identify the radius (r) and height (h) of the cylinder. Here, r = 3 cm and h = 5 cm.
  • Step 3: Calculate r² (the radius squared). So, r² = 3² = 9.
  • Step 4: Multiply r² by the height (h). So, 9 * 5 = 45.
  • Step 5: Multiply the result by π. So, Volume = 45π cm³.
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