Question

find the volume for the cylinder
height: 12.4 cm^3
radius: 6.2 cm^3

Answer 1

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**.