Question

a jar of peanut butter has a height of 16 cm in a width of 10 cm find the volume of the peanut butter jar use 3.14 for pi

Answer 1

To find the volume of a jar that is shaped like a cylinder, you 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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

Given:
- Height (\( h \)) = 16 cm
- Width = 10 cm, which means the diameter is 10 cm. Therefore, the radius (\( r \)) is:

\[
r = \frac{\text{diameter}}{2} = \frac{10}{2} = 5 \text{ cm}
\]

Now we can plug the values into the volume formula:

\[
V = 3.14 \times (5)^2 \times 16
\]

Calculating \( (5)^2 \):

\[
(5)^2 = 25
\]

Now substituting that back into the volume formula:

\[
V = 3.14 \times 25 \times 16
\]

Calculating \( 25 \times 16 \):

\[
25 \times 16 = 400
\]

Now substituting this result back into the volume calculation:

\[
V = 3.14 \times 400
\]

Finally, calculating this:

\[
V = 1256 \text{ cm}^3
\]

Thus, the volume of the peanut butter jar is **1256 cm³**.