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A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is th

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Question: A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the volume of the tank in cubic meters?

Options:

  1. 45π
  2. 30π
  3. 15π
  4. 60π

Correct Answer: 45π

Solution: 

The volume of a cylinder is given by the formula V = πr²h. Here, r = 3 and h = 5, so V = π(3)²(5) = 45π.

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is th

Practice Questions

Q1
A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the volume of the tank in cubic meters?
  1. 45π
  2. 30π
  3. 15π
  4. 60π

Questions & Step-by-Step Solutions

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the volume of the tank in cubic meters?
  • Step 1: Identify the formula for the volume of a cylinder, which is V = πr²h.
  • Step 2: Identify the values for the radius (r) and height (h) of the tank. Here, r = 3 meters and h = 5 meters.
  • Step 3: Substitute the values of r and h into the formula: V = π(3)²(5).
  • Step 4: Calculate (3)², which is 9.
  • Step 5: Multiply 9 by 5 to get 45.
  • Step 6: The volume of the tank is 45π cubic meters.
  • 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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