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A cylinder has a height of 18 yards and a radius of 12 yards. What is its volume? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.




























cubic yards

1 answer

To calculate the volume \( V \) of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where:

  • \( r \) is the radius of the cylinder,
  • \( h \) is the height of the cylinder,
  • \( \pi \) is approximately 3.14.

Given:

  • Height \( h = 18 \) yards,
  • Radius \( r = 12 \) yards.

Now we can calculate the volume.

  1. Calculate \( r^2 \): \[ r^2 = 12^2 = 144 \]

  2. Plug in the values into the volume formula: \[ V = 3.14 \times 144 \times 18 \]

  3. Calculate \( 3.14 \times 144 \): \[ 3.14 \times 144 = 451.36 \]

  4. Now, multiply this result by 18: \[ V = 451.36 \times 18 = 8124.48 \]

So, the volume of the cylinder is approximately 8124.48 cubic yards.