Question

a soup can in the shape of a cylinder is 4 inches tall and has a radius of 2 inches. how much soup will fit in the can? use 3.14 for π and round the answer to the nearest tenth. recall the formula ( v=pi r^{2} h ).

Explanation:

Step1: Substitute the values into the formula

Given \(r = 2\), \(h=4\), \(\pi = 3.14\), substitute into \(V=\pi r^{2}h\).
\(V = 3.14\times2^{2}\times4\)

Step2: Calculate \(2^{2}\)

\(2^{2}=4\), so the formula becomes \(V = 3.14\times4\times4\)

Step3: Calculate \(3.14\times4\)

\(3.14\times4 = 12.56\), then \(V=12.56\times4\)

Step4: Calculate the final result

\(12.56\times4=50.24\approx50.2\) (rounded to the nearest tenth)

Answer:

\(50.2\)