Question
Gabriella is on the track team, she is headed out for practice, she wants to know the volume of her cylindrical shaped water bottle with a radius of 2 inches and height of 10 inches. What is the volume of Gabriella’s water bottle? Use 3.14 to approximate pi (𝜋). (1 point) Responses 15.14 in3 15.14 in3 62.8 in.3 62.8 in.3 125.6 in.3 125.6 in.3 147.24 in.3
Answers
GPT-4o mini
To find the volume of a cylindrical water bottle, we can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- \( r = 2 \) inches,
- \( h = 10 \) inches.
Now, we can substitute the values into the formula:
\[
V = 3.14 \times (2)^2 \times 10
\]
Calculating \( (2)^2 \):
\[
(2)^2 = 4
\]
Now substitute this back into the volume formula:
\[
V = 3.14 \times 4 \times 10
\]
Now multiply \( 3.14 \times 4 \):
\[
3.14 \times 4 = 12.56
\]
Finally, multiply by \( 10 \):
\[
V = 12.56 \times 10 = 125.6
\]
Therefore, the volume of Gabriella’s water bottle is **125.6 in³**.
The correct response is **125.6 in³**.
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- \( r = 2 \) inches,
- \( h = 10 \) inches.
Now, we can substitute the values into the formula:
\[
V = 3.14 \times (2)^2 \times 10
\]
Calculating \( (2)^2 \):
\[
(2)^2 = 4
\]
Now substitute this back into the volume formula:
\[
V = 3.14 \times 4 \times 10
\]
Now multiply \( 3.14 \times 4 \):
\[
3.14 \times 4 = 12.56
\]
Finally, multiply by \( 10 \):
\[
V = 12.56 \times 10 = 125.6
\]
Therefore, the volume of Gabriella’s water bottle is **125.6 in³**.
The correct response is **125.6 in³**.