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

5,024 cubic centimeters
5,024 cubic centimeters

2,009.6 cubic centimeters
2,009.6 cubic centimeters

4,019.2 cubic centimeters
4,019.2 cubic centimeters

1,256 cubic centimeters

Answer 1

To find the volume of the peanut butter jar, we need to determine if the shape is a cylinder.

The formula for the volume \( V \) of a cylinder is given by:

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

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

1. Find the radius: The width of the jar is 10 centimeters, so the radius \( r \) is half of the width: \[ r = \frac{10}{2} = 5 \text{ centimeters} \]

2. Height of the jar: The height \( h \) is given as 16 centimeters.

3. Calculate the volume: \[ V = 3.14 \times (5)^2 \times 16 \] \[ = 3.14 \times 25 \times 16 \] \[ = 3.14 \times 400 \] \[ = 1256 \text{ cubic centimeters} \]

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