Question

jayla bought the ingredients to make chicken soup. she wanted to make a double batch, which would be 12 cups of soup. a quick google search told her that this was 173.3 cubic inches. she hoped the soup pot below would be big enough. the soup pot is 8 inches tall with a radius of 3 inches. what is the volume of the soup pot? answer choices are rounded to the nearest cubic inch.

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \(V\) of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 3\) inches and \(h=8\) inches. Substitute into \(V=\pi r^{2}h\):

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Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(V\approx72\times3.14 = 226.08\)

Answer:

\(226\) cubic inches