Calculate the amount of tomato soup that will fill a can with a radius of 3 inches and height of 5 inches. Use 3.14 for π

.

V = π⋅r2⋅h




(1 point)
Responses

141.3 in3
141.3 in3

35.33 in3
35.33 in3

565.2 in3
565.2 in3

45 in3
45 in3

1 answer

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

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

Where:

  • \( r \) is the radius,
  • \( h \) is the height,
  • \( \pi \) is approximately 3.14.

Given:

  • \( r = 3 \) inches,
  • \( h = 5 \) inches.

Now, substituting the values into the formula:

\[ V = 3.14 \cdot (3^2) \cdot 5 \] \[ = 3.14 \cdot 9 \cdot 5 \] \[ = 3.14 \cdot 45 \] \[ = 141.3 \text{ in}^3 \]

So the volume of tomato soup that will fill the can is 141.3 in³.