Question

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

use pi x r^2 x h

Answer 1

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, and
- \( h \) is the height.

You mentioned the height as 12.4 cm³ and the radius as 6.2 cm³; however, the height should be in centimeters (cm), not cubic centimeters (cm³). I will use the values provided assuming they're in cm:

- Height (\( h \)): 12.4 cm
- Radius (\( r \)): 6.2 cm

Now we can calculate the volume:

\[
V = \pi (6.2\, \text{cm})^2 (12.4\, \text{cm})
\]

First, calculate \( r^2 \):

\[
(6.2)^2 = 38.44\, \text{cm}^2
\]

Now substitute that back into the volume formula:

\[
V = \pi \times 38.44\, \text{cm}^2 \times 12.4\, \text{cm}
\]

Now calculate it step by step:

\[
V = \pi \times 38.44 \times 12.4
\]

Calculating \( 38.44 \times 12.4 \):

\[
38.44 \times 12.4 = 476.576\, \text{cm}^3
\]

Now multiply by \( \pi \) (approximately 3.14159):

\[
V \approx 3.14159 \times 476.576 \approx 1499.438\, \text{cm}^3
\]

Thus, the volume of the cylinder is approximately:

\[
V \approx 1499.44\, \text{cm}^3
\]