To find the volume of the peanut butter jar, we first need to determine the shape of the jar. Since it is typically cylindrical, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base, and
- \( h \) is the height.
Given that the width of the jar is 10 centimeters, we can find the radius as follows:
\[ r = \frac{\text{width}}{2} = \frac{10 , \text{cm}}{2} = 5 , \text{cm} \]
Now, we can plug the values into the volume formula. The height \( h \) is given as 16 centimeters.
\[ V = 3.14 \times (5 , \text{cm})^2 \times 16 , \text{cm} \] \[ V = 3.14 \times 25 , \text{cm}^2 \times 16 , \text{cm} \] \[ V = 3.14 \times 400 , \text{cm}^3 \] \[ V = 1256 , \text{cm}^3 \]
Therefore, the volume of the peanut butter jar is 1256 cm³.
1 answer