Question
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
1,256 cubic centimeters
1,256 cubic centimeters
2,009.6 cubic centimeters
2,009.6 cubic centimeters
5,024 cubic centimeters
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
1,256 cubic centimeters
1,256 cubic centimeters
2,009.6 cubic centimeters
2,009.6 cubic centimeters
5,024 cubic centimeters
Answers
GPT-4o mini
To calculate the volume of a jar, we need to know its shape. If we assume that the jar is cylindrical (which is common for jars), we can use the formula for the volume of a cylinder:
\[
\text{Volume} = \pi r^2 h
\]
where \(r\) is the radius and \(h\) is the height.
1. First, we need to find the radius. The width of the jar is 10 centimeters, which means the diameter is 10 cm. The radius \(r\) is half of the diameter:
\[
r = \frac{10}{2} = 5 \text{ cm}
\]
2. The height \(h\) of the jar is given as 16 cm.
3. Now plug the values into the volume formula:
\[
\text{Volume} = 3.14 \times (5)^2 \times 16
\]
4. Calculate \( (5)^2 \):
\[
(5)^2 = 25
\]
5. Substitute that back into the formula:
\[
\text{Volume} = 3.14 \times 25 \times 16
\]
6. Calculate \(25 \times 16\):
\[
25 \times 16 = 400
\]
7. Now calculate the volume:
\[
\text{Volume} = 3.14 \times 400 = 1256 \text{ cubic centimeters}
\]
Therefore, the volume of the peanut butter jar is **1,256 cubic centimeters**.
The correct response is:
**1,256 cubic centimeters**.
\[
\text{Volume} = \pi r^2 h
\]
where \(r\) is the radius and \(h\) is the height.
1. First, we need to find the radius. The width of the jar is 10 centimeters, which means the diameter is 10 cm. The radius \(r\) is half of the diameter:
\[
r = \frac{10}{2} = 5 \text{ cm}
\]
2. The height \(h\) of the jar is given as 16 cm.
3. Now plug the values into the volume formula:
\[
\text{Volume} = 3.14 \times (5)^2 \times 16
\]
4. Calculate \( (5)^2 \):
\[
(5)^2 = 25
\]
5. Substitute that back into the formula:
\[
\text{Volume} = 3.14 \times 25 \times 16
\]
6. Calculate \(25 \times 16\):
\[
25 \times 16 = 400
\]
7. Now calculate the volume:
\[
\text{Volume} = 3.14 \times 400 = 1256 \text{ cubic centimeters}
\]
Therefore, the volume of the peanut butter jar is **1,256 cubic centimeters**.
The correct response is:
**1,256 cubic centimeters**.