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 in3141.3 in3

565.2 in3565.2 in3

35.33 in335.33 in3

45 in345 in3

1 answer

To calculate the volume of the can using the formula \( V = \pi \cdot r^2 \cdot h \), we need to substitute the values for \( \pi \), \( r \), and \( h \).

Given:

  • \( r = 3 \) inches
  • \( h = 5 \) inches
  • \( \pi \approx 3.14 \)

Now, let's calculate the volume:

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

\[ V = 3.14 \cdot (3^2) \cdot 5 \]

Calculating \( 3^2 \):

\[ 3^2 = 9 \]

Now substituting that into the volume formula:

\[ V = 3.14 \cdot 9 \cdot 5 \]

Calculating \( 9 \cdot 5 \):

\[ 9 \cdot 5 = 45 \]

Now substituting this back in:

\[ V = 3.14 \cdot 45 \]

Calculating \( 3.14 \cdot 45 \):

\[ V = 141.3 \]

Thus, the volume of the can is:

\[ \boxed{141.3 , \text{in}^3} \]