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.