Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 4 in 6 in cubic inches submit

Explanation:

Step1: Find the radius

The diameter is \(4\) inches, so the radius \(r=\frac{4}{2}=2\) inches.

Step2: Use the volume formula for a cylinder

The formula for the volume of a cylinder is \(V = \pi r^{2}h\). Here, \(r = 2\) inches and \(h=6\) inches.
Substitute the values into the formula: \(V=\pi\times(2)^{2}\times6\).
First, calculate \((2)^{2}=4\). Then \(V=\pi\times4\times6 = 24\pi\).
Using \(\pi\approx3.14159\), we get \(V\approx24\times3.14159\).
\(24\times3.14159 = 75.39816\).

Answer:

\(75.40\) cubic inches