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. 4,019.2 cubic centimeters 4,019.2 cubic centimeters 5,024 cubic centimeters 5,024 cubic centimeters 1,256 cubic centimeters 1,256 cubic centimeters 2,009.6 cubic centimeters
Answers
GPT-4o mini
To find the volume of the peanut butter jar, we can use the formula for the volume of a cylinder, which is given by:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
Given that:
- The height \( h = 16 \) centimeters.
- The width (diameter) of the jar is 10 centimeters, which means the radius \( r = \frac{10}{2} = 5 \) centimeters.
Now we can substitute the values into the formula:
\[ V = 3.14 \times (5)^2 \times 16 \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now, substituting that back into the equation:
\[ V = 3.14 \times 25 \times 16 \]
Now calculating \( 25 \times 16 \):
\[ 25 \times 16 = 400 \]
Now, substituting back into the volume formula:
\[ V = 3.14 \times 400 \]
Calculating that:
\[ 3.14 \times 400 = 1256 \]
Thus, the volume of the peanut butter jar is:
**1,256 cubic centimeters.**
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
Given that:
- The height \( h = 16 \) centimeters.
- The width (diameter) of the jar is 10 centimeters, which means the radius \( r = \frac{10}{2} = 5 \) centimeters.
Now we can substitute the values into the formula:
\[ V = 3.14 \times (5)^2 \times 16 \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now, substituting that back into the equation:
\[ V = 3.14 \times 25 \times 16 \]
Now calculating \( 25 \times 16 \):
\[ 25 \times 16 = 400 \]
Now, substituting back into the volume formula:
\[ V = 3.14 \times 400 \]
Calculating that:
\[ 3.14 \times 400 = 1256 \]
Thus, the volume of the peanut butter jar is:
**1,256 cubic centimeters.**