Question
Volume of Cylinders Quick Check
4 of 54 of 5 Items
Question
A jar of salsa has a height of 6 inches and a radius of 2 inches. Find the volume of the salsa jar. Use 3.14 for pi.(1 point)
Responses
75.36 cubic inches
75.36 cubic inches
226.08 cubic inches
226.08 cubic inches
56.52 cubic inches
56.52 cubic inches
18.84 cubic inches
Answers
GPT-4o mini
To find the volume of the salsa jar, which is in the shape of 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,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Plugging in the values:
- Radius \( r = 2 \) inches
- Height \( h = 6 \) inches
\[ V = 3.14 \times (2)^2 \times 6 \]
Calculating \( (2)^2 \):
\[ (2)^2 = 4 \]
Now substituting it back:
\[ V = 3.14 \times 4 \times 6 \]
Calculating \( 4 \times 6 \):
\[ 4 \times 6 = 24 \]
Now, multiply:
\[ V = 3.14 \times 24 \]
Calculating \( 3.14 \times 24 \):
\[ V = 75.36 \thinspace \text{cubic inches} \]
So, the volume of the salsa jar is **75.36 cubic inches**.
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Plugging in the values:
- Radius \( r = 2 \) inches
- Height \( h = 6 \) inches
\[ V = 3.14 \times (2)^2 \times 6 \]
Calculating \( (2)^2 \):
\[ (2)^2 = 4 \]
Now substituting it back:
\[ V = 3.14 \times 4 \times 6 \]
Calculating \( 4 \times 6 \):
\[ 4 \times 6 = 24 \]
Now, multiply:
\[ V = 3.14 \times 24 \]
Calculating \( 3.14 \times 24 \):
\[ V = 75.36 \thinspace \text{cubic inches} \]
So, the volume of the salsa jar is **75.36 cubic inches**.