Question

find the volume of the cone. v = ? π ft³ v = 1/3 π r² h

Explanation:

Step1: Substitute the values into the formula

The formula for the volume of a cone is \( V=\frac{1}{3}\pi r^{2}h\). Here, \(r = 12\) ft and \(h=17\) ft.
So, \(V=\frac{1}{3}\pi\times(12)^{2}\times17\).

Step2: Calculate \((12)^{2}\)

\((12)^{2}=12\times12 = 144\). Then the formula becomes \(V=\frac{1}{3}\pi\times144\times17\).

Step3: Calculate \(\frac{1}{3}\times144\)

\(\frac{1}{3}\times144=\frac{144}{3}=48\). Now the formula is \(V = 48\times17\pi\).

Step4: Calculate \(48\times17\)

\(48\times17=(50 - 2)\times17=50\times17-2\times17=850 - 34 = 816\).

Answer:

\(816\)