Question

the formula for the volume of a cylinder is $\pi r^{2}h$. use 3.14 as an approximation of $\pi$. what is the approximate volume of the cylinder? a. $47.1\\ cm^{3}$ b. $94.2\\ cm^{3}$ c. $141.3\\ cm^{3}$ d. $235.5\\ cm^{3}$

Explanation:

Step1: Substitute the values into the formula

Given \( r = 3\) cm and \( h=5\) cm, and \(\pi\approx3.14\). The volume formula for a cylinder is \(V=\pi r^{2}h\). Substitute the values: \(V = 3.14\times3^{2}\times5\).

Step2: Calculate \(3^{2}\)

\(3^{2}=3\times3 = 9\). So the formula becomes \(V=3.14\times9\times5\).

Step3: Calculate \(3.14\times9\)

\(3.14\times9=(3 + 0.14)\times9=3\times9+0.14\times9=27+1.26 = 28.26\). Now the formula is \(V = 28.26\times5\).

Step4: Calculate \(28.26\times5\)

\(28.26\times5=(28+0.26)\times5=28\times5+0.26\times5=140 + 1.3=141.3\) \(cm^{3}\).

Answer:

C. \(141.3\ cm^{3}\)