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)

Question

Responses

2,009.6 cubic centimeters

5,024 cubic centimeters

1,256 cubic centimeters

4,019.2 cubic centimeters

Answer 1

To find the volume of a peanut butter jar, we typically assume it is in the shape of a cylinder. The formula for the volume \( V \) of a cylinder is:

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

where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.

Given:

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