Question

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

Explanation:

Step1: Substitute values into formula

Given \(r = 3\) cm and \(h = 7\) cm, \(\pi=3.14\). Substitute into \(V=\frac{\pi r^{2}h}{3}\).
\(V=\frac{3.14\times3^{2}\times7}{3}\)

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

\(3^{2}=9\), so \(V = \frac{3.14\times9\times7}{3}\)

Step3: Calculate \(3.14\times9\)

\(3.14\times9 = 28.26\), then \(V=\frac{28.26\times7}{3}\)

Step4: Calculate \(28.26\times7\)

\(28.26\times7=197.82\), so \(V=\frac{197.82}{3}\)

Step5: Divide

\(V = 65.94\)

Answer:

\(65.94\)