Question

find the volume of the cone. volume formula: $v = \frac{pi r^{2} cdot h}{3}$ use 3.14 for $pi$. $v = ? ft^{3}$

Explanation:

Step1: Substitute the values into the formula

Given \(r = 3\) ft and \(h=9\) ft, and \(\pi = 3.14\). The formula for the volume of a cone is \(V=\frac{\pi r^{2}h}{3}\). Substitute the values: \(V=\frac{3.14\times3^{2}\times9}{3}\).

Step2: Calculate \(3^{2}\)

\(3^{2}=3\times3 = 9\). So the formula becomes \(V=\frac{3.14\times9\times9}{3}\).

Step3: Calculate \(9\times9\)

\(9\times9 = 81\). Now the formula is \(V=\frac{3.14\times81}{3}\).

Step4: Calculate \(\frac{81}{3}\)

\(\frac{81}{3}=27\). Then \(V = 3.14\times27\).

Step5: Calculate the final product

\(3.14\times27=(3 + 0.14)\times27=3\times27+0.14\times27=81+3.78 = 84.78\).

Answer:

\(84.78\)