Question
what is the volume of a perfume bottle with a height of 12.4 cm and a radius of 6.2 cm? Hint: V= pi x r^2 x h
Answers
GPT-4o mini
To find the volume of the perfume bottle with the given height and radius, we can use the formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14159.
Given:
- Height \( h = 12.4 \, \text{cm} \)
- Radius \( r = 6.2 \, \text{cm} \)
First, we calculate \( r^2 \):
\[
r^2 = (6.2)^2 = 38.44
\]
Next, we plug the values into the volume formula:
\[
V = \pi \times 38.44 \times 12.4
\]
Now, calculate the volume:
\[
V \approx 3.14159 \times 38.44 \times 12.4
\]
\[
V \approx 3.14159 \times 476.576
\]
\[
V \approx 1498.08 \, \text{cm}^3
\]
Therefore, the volume of the perfume bottle is approximately **1498.08 cm³**.
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14159.
Given:
- Height \( h = 12.4 \, \text{cm} \)
- Radius \( r = 6.2 \, \text{cm} \)
First, we calculate \( r^2 \):
\[
r^2 = (6.2)^2 = 38.44
\]
Next, we plug the values into the volume formula:
\[
V = \pi \times 38.44 \times 12.4
\]
Now, calculate the volume:
\[
V \approx 3.14159 \times 38.44 \times 12.4
\]
\[
V \approx 3.14159 \times 476.576
\]
\[
V \approx 1498.08 \, \text{cm}^3
\]
Therefore, the volume of the perfume bottle is approximately **1498.08 cm³**.