Question

what is the volume of the following cylinder? use the π button on the calculator when solving. round your answer to the nearest whole number. 7cm 5cm cm³

Explanation:

Step1: Find the radius

The radius \( r=\frac{7}{2} = 3.5\) cm.

Step2: Use the volume formula for a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 3.5\) cm and \(h=5\) cm into the formula:
\(V=\pi\times(3.5)^{2}\times5\)
First, calculate \((3.5)^{2}=3.5\times3.5 = 12.25\).
Then, \(V=\pi\times12.25\times5=61.25\pi\).
Using the \(\pi\) button on the calculator, \(V = 61.25\times\pi\approx61.25\times3.141592654\approx192.42255\).

Answer:

\(192\)