Question

v = 1/3 πr²h

Explanation:

Step1: Substitute values into formula

Given \(r = 3\) cm and \(h = 7\) cm, substitute into \(V=\frac{1}{3}\pi r^{2}h\).
\(V=\frac{1}{3}\times\pi\times(3)^{2}\times7\)

Step2: Simplify the expression

First calculate \((3)^{2}=9\). Then \(\frac{1}{3}\times9 = 3\).
So \(V = 3\times\pi\times7\)

Step3: Calculate the final value

\(V=21\pi\approx21\times 3.14 = 65.94\) \(cm^{3}\)

Answer:

\(65.94\) \(cm^{3}\)