A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar. Use 3.14 for pi.(1 point)

Responses

1,256 cubic centimeters
1,256 cubic centimeters
4,019.2 cubic centimeters
4,019.2 cubic centimeters
5,024 cubic centimeters
5,024 cubic centimeters
2,009.6 cubic centimeters

1 answer

To find the volume of the peanut butter jar, we first assume the jar is cylindrical. The formula for the volume \( V \) of a cylinder is:

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

where:

  • \( r \) is the radius
  • \( h \) is the height
  • \( \pi \) is approximately 3.14

Given the width (or diameter) of the jar is 10 cm, the radius \( r \) is half of that:

\[ r = \frac{10}{2} = 5 \text{ cm} \]

The height \( h \) is given as 16 cm. Now we can plug these values into the volume formula:

\[ V = 3.14 \times (5^2) \times 16 \]

Calculating \( 5^2 \):

\[ 5^2 = 25 \]

Now substituting into the volume formula:

\[ V = 3.14 \times 25 \times 16 \]

Calculating \( 25 \times 16 \):

\[ 25 \times 16 = 400 \]

Now substituting back:

\[ V = 3.14 \times 400 \]

Finally, multiplying:

\[ V = 1256 \text{ cubic centimeters} \]

Therefore, the volume of the peanut butter jar is:

1,256 cubic centimeters