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What is the volume of a cylinder with a radius of 3 units and a height of 5 unit

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

Options:

  1. 45π
  2. 30π
  3. 15π
  4. 60π

Correct Answer: 45π

Solution: 

The volume of a cylinder is given by V = πr²h. For r = 3 and h = 5, V = π(3)²(5) = π(9)(5) = 45π.

What is the volume of a cylinder with a radius of 3 units and a height of 5 unit

Practice Questions

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

Questions & Step-by-Step Solutions

What is the volume of a cylinder with a radius of 3 units and a height of 5 units?
  • Step 1: Identify the formula for the volume of a cylinder, which is V = πr²h.
  • Step 2: Substitute the radius (r) and height (h) into the formula. Here, r = 3 and h = 5.
  • Step 3: Calculate r² (which is 3²). This equals 9.
  • Step 4: Multiply the result from Step 3 by the height (h). So, 9 * 5 = 45.
  • Step 5: Finally, multiply the result from Step 4 by π. This gives you 45π.
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