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

1 answer

To find the volume of the jar of peanut butter, we will assume it is in the shape of a cylinder. The volume \( V \) of a cylinder can be calculated using the formula:

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

where:

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

Given:

  • The height \( h = 16 \) cm,
  • The width (diameter) = 10 cm, so the radius \( r = \frac{10}{2} = 5 \) cm.

Now, 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.