Volume of Cylinders Quick Check

Question

3 of 53 of 5 Items

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

4,019.2 cubic centimeters
4,019.2 cubic centimeters

2,009.6 cubic centimeters
2,009.6 cubic centimeters

5,024 cubic centimeters
5,024 cubic centimeters

1,256 cubic centimeters

Answer 1

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

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

where:

• \( V \) is the volume,
• \( r \) is the radius of the base,
• \( h \) is the height,
• \( \pi \) is approximately 3.14.

In the case of the peanut butter jar:

• The width is 10 centimeters, so the radius \( r \) is half of that: \( r = 10 / 2 = 5 \) centimeters.
• The height \( h \) is 16 centimeters.

Now, plug the values into the volume formula:

\[ V = 3.14 \times (5^2) \times 16 \] \[ V = 3.14 \times 25 \times 16 \] \[ V = 3.14 \times 400 \] \[ V = 1256 \text{ cubic centimeters} \]

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