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A cylinder has a height of 10 cm and a radius of 3 cm. What is the volume of the

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Question: A cylinder has a height of 10 cm and a radius of 3 cm. What is the volume of the cylinder?

Options:

  1. 90π cm³
  2. 30π cm³
  3. 60π cm³
  4. 120π cm³

Correct Answer: 90π cm³

Solution: 

The volume of a cylinder is given by V = πr²h. Substituting the values, V = π(3)²(10) = 90π cm³.

A cylinder has a height of 10 cm and a radius of 3 cm. What is the volume of the

Practice Questions

Q1
A cylinder has a height of 10 cm and a radius of 3 cm. What is the volume of the cylinder?
  1. 90π cm³
  2. 30π cm³
  3. 60π cm³
  4. 120π cm³

Questions & Step-by-Step Solutions

A cylinder has a height of 10 cm and a radius of 3 cm. What is the volume of the cylinder?
  • Step 1: Identify the formula for the volume of a cylinder, which is V = πr²h.
  • Step 2: Identify the values needed for the formula: the radius (r) is 3 cm and the height (h) is 10 cm.
  • Step 3: Substitute the radius into the formula: V = π(3)²(10).
  • Step 4: Calculate (3)², which is 9.
  • Step 5: Now substitute back into the formula: V = π(9)(10).
  • Step 6: Multiply 9 by 10 to get 90: V = 90π.
  • Step 7: The volume of the cylinder is 90π 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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