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find the volume of this cone. use 3 for π. v = \\frac{πr^{2}h}{3} v ≈ ?…

Question

find the volume of this cone.
use 3 for π.
v = \frac{πr^{2}h}{3}
v ≈ ?cm^{3}

Explanation:

Step1: Substitute the values into the formula

Given \( r = 4\) cm, \( h = 8\) cm, and \(\pi\approx3\).
The formula for the volume of a cone is \(V=\frac{\pi r^{2}h}{3}\).
Substitute the values: \(V=\frac{3\times4^{2}\times8}{3}\).

Step2: Simplify the expression

First, calculate \(4^{2}=16\).
Then the expression becomes \(\frac{3\times16\times8}{3}\).
The \(3\) in the numerator and denominator cancels out.
We are left with \(16\times8 = 128\).

Answer:

\(128\)