How much soup can a can hold if it is six inches high with a diameter of 4 inches?

50.27 in³

60.44 in³

75.36 in³

To determine how much soup a can hold, we can calculate the volume of the cylinder representing the can. The formula for the volume \( V \) of a cylinder is given by:

\[

V = \pi r^2 h

\]

where \( r \) is the radius of the base of the cylinder and \( h \) is the height.

In this case, we know the height \( h \) is 6 inches. The diameter of the can is 4 inches, which means the radius \( r \) is half of that:

\[

r = \frac{4 \text{ inches}}{2} = 2 \text{ inches}

\]

Now, substituting the values into the volume formula:

\[

V = \pi (2 \text{ inches})^2 (6 \text{ inches})

\]

Calculating the area of the base:

\[

(2 \text{ inches})^2 = 4 \text{ square inches}

\]

Now substituting this back into the volume equation:

\[

V = \pi \times 4 \text{ in}^2 \times 6 \text{ in}

\]

\[

V = 24\pi

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80.00 in³

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