Question

the radius of the base of a cone is 4 cm and the height is 9 cm. what is the volume? a. 48π b. 36π c. 24π d. 12π

Explanation:

Step1: Recall the formula for the volume of a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\), 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 \(h=9\) cm. Substitute these values into the formula: \(V=\frac{1}{3}\pi\times(4)^{2}\times9\).

Step3: Simplify the expression

First, calculate \((4)^{2}=16\). Then, \(\frac{1}{3}\times16\times9=\frac{1}{3}\times144 = 48\). So, \(V = 48\pi\) \(cm^{3}\).

Answer:

A. \(48\pi\)