How do you calculate the volume of a cylinder when its height is twice the size of its radius?

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To calculate the volume of a cylinder, you can use the formula:

V = πr²h

Where:

  • V is the volume of the cylinder,
  • r is the radius of the base,
  • h is the height of the cylinder, and
  • π (Pi) is approximately 3.14159.

In this case, you’re given that the height h is twice the radius r. Therefore, you can express h as:

h = 2r

Now, plug this relationship into the volume formula:

V = πr²(2r)

This simplifies to:

V = 2πr³

So, the volume of the cylinder can be expressed solely in terms of its radius. To summarize, if the height of the cylinder is twice its radius, the volume will be:

V = 2πr³

This formula allows you to find the volume easily as long as you know the radius of the cylinder’s base.

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