Question

Find the voulume of this purfume botle with a hight of 12.4 and radius of 6.2

Answer 1

To find the volume of a cylindrical perfume bottle, you can use the formula for the volume \( V \) of a cylinder:

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

where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14159.

Given:
- Height \( h = 12.4 \) units,
- Radius \( r = 6.2 \) units,

we can plug these values into the formula:

\[
V = \pi (6.2)^2 (12.4)
\]

First, calculate \( (6.2)^2 \):

\[
(6.2)^2 = 38.44
\]

Now calculate the volume:

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

Calculating \( 38.44 \times 12.4 \):

\[
38.44 \times 12.4 = 476.576
\]

Now, multiply by \( \pi \):

\[
V \approx 3.14159 \times 476.576 \approx 1499.67
\]

Thus, the approximate volume of the perfume bottle is:

\[
\boxed{1499.67} \text{ cubic units}
\]