find the volume for the cylinder

height: 12.4 cm^3
radius: 6.2 cm^3

1 answer

It appears there is a misunderstanding with the units you've provided. The volume of a cylinder is generally expressed in cubic centimeters (cm³), while height and radius should be expressed in centimeters (cm) without the cubic units.

Assuming you mean:

  • Height (h) = 12.4 cm
  • Radius (r) = 6.2 cm

The formula for the volume \( V \) of a cylinder is given by:

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

Now, substituting the values into the formula:

  1. Calculate \( r^2 \): \[ r^2 = (6.2 , \text{cm})^2 = 38.44 , \text{cm}^2 \]

  2. Now, multiply by the height and \( \pi \): \[ V = \pi \times 38.44 , \text{cm}^2 \times 12.4 , \text{cm} \]

  3. Calculate the volume: \[ V \approx 3.14159 \times 38.44 \times 12.4 \] \[ V \approx 3.14159 \times 476.576 \approx 1499.46 , \text{cm}^3 \]

Thus, the volume of the cylinder is approximately 1499.46 cm³.