Question

find the volum
12 in
8 in
195 in3
the 4th of july

Explanation:

Step1: Find the radius

The diameter \(d = 12\) in. The radius \(r=\frac{d}{2}\).
\(r=\frac{12}{2}=6\) in.

Step2: Use the volume formula for a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(h = 8\) in and \(r = 6\) in.
Substitute the values: \(V=\frac{1}{3}\times\pi\times6^{2}\times8\).
First calculate \(6^{2}=36\). Then \(V=\frac{1}{3}\times\pi\times36\times8\).
\(\frac{1}{3}\times36 = 12\). So \(V=12\times\pi\times8\).
\(12\times8 = 96\). So \(V = 96\pi\).
Take \(\pi\approx3.14\). Then \(V\approx96\times3.14=301.44\) in³.

Answer:

\(301.44\) in³