a water bottle has a height of 30 inches and a radius of 8 inches. What is the volume, in cubic inches, of the water bottle? use 3.14 for pi

- 753.6
- 6028.8
- 7680
- 1507.2
- 5652
- 3014.4

1 answer

To find the volume of a cylinder, we 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:

  • Height (\( h \)) = 30 inches
  • Radius (\( r \)) = 8 inches

Substituting the values into the formula:

\[ V = 3.14 \times (8)^2 \times 30 \]

First, calculate \( (8)^2 \):

\[ (8)^2 = 64 \]

Now substitute back into the formula:

\[ V = 3.14 \times 64 \times 30 \]

Next, calculate \( 64 \times 30 \):

\[ 64 \times 30 = 1920 \]

Now substitute back into the formula:

\[ V = 3.14 \times 1920 \]

Now calculate \( 3.14 \times 1920 \):

\[ 3.14 \times 1920 = 6028.8 \]

Thus, the volume of the water bottle is:

\[ \boxed{6028.8} \]

The correct answer is 6028.8 cubic inches.