Calculate the amount of tomato soup that will fill a can with a radius of 2 inches and height of 3.5 inches. Use 3.14 for pi

V = π⋅r2⋅h


(1 point)
Responses

175.84 in3175.84 in3

21.98 in321.98 in3

14 in314 in3

43.96 in343.96 in3

1 answer

To calculate the volume of the can using the formula \( V = \pi \cdot r^2 \cdot h \), we need to plug in the values for the radius and height, as well as the value of \( \pi \).

Given:

  • Radius \( r = 2 \) inches
  • Height \( h = 3.5 \) inches
  • \( \pi \approx 3.14 \)

Now, substitute these values into the formula:

\[ V = \pi \cdot r^2 \cdot h \] \[ V = 3.14 \cdot (2)^2 \cdot 3.5 \] \[ V = 3.14 \cdot 4 \cdot 3.5 \] \[ V = 3.14 \cdot 14 \] \[ V = 43.96 , \text{in}^3 \]

Therefore, the volume of the tomato soup that will fill the can is 43.96 in³.