Question
what is the volume of a cylindrical perfume bottle with a height of 12.4 cm and a radius of 6.2 cm
Answers
GPT-4o mini
To calculate the volume \( V \) of a cylinder, you can use the formula:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14159.
Given that the radius \( r \) is 6.2 cm and the height \( h \) is 12.4 cm, we can substitute these values into the formula:
\[
V = \pi (6.2)^2 (12.4)
\]
Calculating \( (6.2)^2 \):
\[
(6.2)^2 = 38.44
\]
Now we can plug it into the volume formula:
\[
V = \pi (38.44) (12.4)
\]
Next, calculate \( 38.44 \times 12.4 \):
\[
38.44 \times 12.4 = 476.576
\]
Now, multiply by \( \pi \):
\[
V \approx 3.14159 \times 476.576 \approx 1499.56 \text{ cm}^3
\]
Thus, the volume of the cylindrical perfume bottle is approximately \( 1499.56 \) cm³.
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14159.
Given that the radius \( r \) is 6.2 cm and the height \( h \) is 12.4 cm, we can substitute these values into the formula:
\[
V = \pi (6.2)^2 (12.4)
\]
Calculating \( (6.2)^2 \):
\[
(6.2)^2 = 38.44
\]
Now we can plug it into the volume formula:
\[
V = \pi (38.44) (12.4)
\]
Next, calculate \( 38.44 \times 12.4 \):
\[
38.44 \times 12.4 = 476.576
\]
Now, multiply by \( \pi \):
\[
V \approx 3.14159 \times 476.576 \approx 1499.56 \text{ cm}^3
\]
Thus, the volume of the cylindrical perfume bottle is approximately \( 1499.56 \) cm³.