Question

what is the volume of a right cylinder with a height of 5 centimeters and a base with a radius of 4 centimeters? 4 of 7 questions 20πcm³ 160πcm³ 80πcm³ 40πcm³

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

Given \(r = 4\) cm and \(h=5\) cm. Substitute these values into the formula: \(V=\pi\times(4)^{2}\times5\).
First, calculate \((4)^{2}=16\). Then, \(V=\pi\times16\times5\).

Step3: Perform the multiplication

\(16\times5 = 80\). So, \(V = 80\pi\space cm^{3}\).

Answer:

\(80\pi\space cm^{3}\) (the third option)