Question

find the volume of the cylinder round your answer to the nearest tenth
16 cm
8 cm
the volume of the cylinder is about cubic centimeters
11

Explanation:

Step1: Find the radius

The diameter \(d = 8\) cm. The radius \(r=\frac{d}{2}\), so \(r = \frac{8}{2}=4\) cm.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\). Here, \(r = 4\) cm and \(h=16\) cm.
Substitute the values into the formula: \(V=\pi\times(4)^{2}\times16\).
First, calculate \((4)^{2}=16\). Then \(V=\pi\times16\times16\).
\(V = 256\pi\).
Using \(\pi\approx3.14\), we get \(V\approx256\times3.14 = 803.84\).

Answer:

\(803.8\)