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

1 answer

To find the volume of a cylindrical water bottle, we can use the formula for the volume of a cylinder:

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

Where:

  • \( V \) is the volume,
  • \( r \) is the radius,
  • \( h \) is the height,
  • \( \pi \) is approximately 3.14.

Given:

  • Radius \( r = 2 \) inches,
  • Height \( h = 10 \) inches.

Substituting the values into the formula:

\[ V = 3.14 \times (2)^2 \times 10 \] \[ V = 3.14 \times 4 \times 10 \] \[ V = 3.14 \times 40 \] \[ V = 125.6 \text{ in}^3 \]

Therefore, the volume of Gabriella’s water bottle is 125.6 in³.