Find the volume of the cylinder below. Use the approximation of 3.14 for pi.

(the cylinder is slanted to the right) 5 cm is the radius and 15 cm is the edge of the top part to the bottom.

3 answers

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

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

where:

  • \(V\) is the volume,
  • \(r\) is the radius,
  • \(h\) is the height of the cylinder.

In this case, you provided:

  • Radius (\(r\)) = 5 cm
  • The height of the cylinder (\(h\)) = 15 cm

Using \( \pi \approx 3.14 \):

  1. Calculate \(r^2\): \[ r^2 = 5^2 = 25 \text{ cm}^2 \]

  2. Now plug the values into the volume formula: \[ V = 3.14 \times 25 \times 15 \]

  3. First calculate \(25 \times 15\): \[ 25 \times 15 = 375 \]

  4. Now calculate \(V\): \[ V = 3.14 \times 375 \] \[ V = 1177.5 \text{ cm}^3 \]

Thus, the volume of the cylinder is approximately 1177.5 cm³.

centimeters or cubic centimeters for the answer?

The volume of the cylinder should be expressed in cubic centimeters (cm³), as volume is a measure of three-dimensional space.

So the volume calculated for the cylinder is 1177.5 cm³.