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

4,019.2 cubic centimeters

5,024 cubic centimeters

2,009.6 cubic centimeters

1 answer

To find the volume of a jar of peanut butter, we can assume it's in the shape of a cylinder since it has a circular cross-section. The formula for the volume \( V \) of a cylinder is given by:

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

where:

  • \( r \) is the radius of the base,
  • \( h \) is the height of the cylinder,
  • \( \pi \) is a constant approximately equal to 3.14.

Given:

  • Height \( h = 16 \) cm,
  • Width (diameter) = 10 cm, so the radius \( r \) = diameter / 2 = 10 cm / 2 = 5 cm.

Now we can plug the values into the volume formula:

\[ V = 3.14 \times (5)^2 \times 16 \] \[ V = 3.14 \times 25 \times 16 \] \[ V = 3.14 \times 400 \] \[ V = 1256 \text{ cubic centimeters} \]

Thus, the volume of the peanut butter jar is 1,256 cubic centimeters.