Question

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) Responses 1,256 cubic centimeters 1,256 cubic centimeters 4,019.2 cubic centimeters 4,019.2 cubic centimeters 5,024 cubic centimeters 5,024 cubic centimeters 2,009.6 cubic centimeters

Answer 1

To find the volume of a jar shaped like a cylinder, you can use the formula:

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

1. **Find the radius**: The width of the jar is given as 10 cm, which means the radius is half of that:

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

2. **Use the height**: The height of the jar is given as 16 cm.

3. **Plug the values into the volume formula**:

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

Calculating step-by-step:

- Calculate \( (5)^2 = 25 \).
- Then multiply by the height:

\[
25 \times 16 = 400
\]

- Now multiply by \( \pi \):

\[
V = 3.14 \times 400 = 1256 \text{ cubic centimeters}
\]

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