Question

question 9 (multiple choice worth 5 points)
(volume lc)
the radius of the circular base of a cone is 5 feet and the height is 12 feet. what is the volume of the cone?
100π ft³
300π ft³
400π ft³
1,200π ft³

Explanation:

Step1: Recall the volume formula of a cone

The volume formula of 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 \(r = 5\) feet and \(h=12\) feet. Substitute these values into the formula: \(V=\frac{1}{3}\pi\times(5)^{2}\times12\).
First, calculate \((5)^{2}=25\). Then, \(\frac{1}{3}\times25\times12=\frac{1}{3}\times12\times25 = 4\times25\).

Step3: Calculate the result

\(4\times25 = 100\). So \(V = 100\pi\) \(ft^{3}\).

Answer:

\(100\pi\) \(ft^{3}\) (corresponding to the first option)