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
147.24 in.3
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1 answer

To calculate the volume of a cylindrical shaped water bottle, you can use the formula:

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

where:

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

Given that the radius \( r = 2 \) inches and the height \( h = 10 \) inches, we can substitute the values into the formula:

\[ V = 3.14 \times (2)^2 \times 10 \]

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

\[ (2)^2 = 4 \]

Now plug that value into the formula:

\[ V = 3.14 \times 4 \times 10 \]

Now calculate \( 3.14 \times 4 \):

\[ 3.14 \times 4 = 12.56 \]

Now multiply that by 10:

\[ V = 12.56 \times 10 = 125.6 \]

Therefore, the volume of Gabriella's water bottle is \( 125.6 \) cubic inches.

The correct response is:

125.6 in³