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

Question

GPT-4o mini · Answer

To find the volume of the peanut butter jar, we can model it as a cylinder. 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 of the cylinder,
\( h \) is the height of the cylinder, and
\( \pi \) is a constant approximately equal to 3.14.

Given:

The width of the jar is 10 centimeters, which means the radius \( r \) is half of that: \[ r = \frac{10}{2} = 5 \text{ centimeters} \]
The height \( h \) is 16 centimeters.

Now, we can substitute 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.