Question

an oblique cylinder has a height that is 2 centimeters less than the radius (r) of its base. which formula can be used to determine the volume, in cubic centimeters, of the cylinder? 1 of 4 questio πr³ - 2 πr³ - 2πr² 2πr³ - πr³ 2πr² - 4πr

Explanation:

Step1: Find the height of the cylinder

The height \(h\) is \(2\) centimeters less than the radius \(r\), so \(h=r - 2\).

Step2: Recall the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\).

Step3: Substitute the value of \(h\) into the volume formula

Substitute \(h=r - 2\) into \(V=\pi r^{2}h\), we get \(V=\pi r^{2}(r - 2)\).

Step4: Expand the expression

Using the distributive property \(a(b - c)=ab-ac\) (where \(a = \pi r^{2}\), \(b=r\), \(c = 2\)), we have \(V=\pi r^{3}-2\pi r^{2}\).

Answer:

\(\pi r^{3}-2\pi r^{2}\) (the second option)