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

1 answer

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.