Question

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

Explanation:

Step1: Substitute the values into the formula

Given \(r = 4\) m and \(h = 9\) m, and \(\pi=3.14\). Substitute into \(V=\frac{\pi r^{2}h}{3}\), we get \(V=\frac{3.14\times4^{2}\times9}{3}\).

Step2: Calculate \(4^{2}\)

\(4^{2}=16\), so the formula becomes \(V = \frac{3.14\times16\times9}{3}\).

Step3: Calculate \(16\times9\)

\(16\times9 = 144\), then \(V=\frac{3.14\times144}{3}\).

Step4: Calculate \(3.14\times144\)

\(3.14\times144=452.16\), so \(V=\frac{452.16}{3}\).

Step5: Divide by 3

\(452.16\div3 = 150.72\).

Answer:

\(150.72\)