Question

the volume of this cylinder is 3,768 cubic inches. what is the height? round your answer to the nearest hundredth. 10 in h h≈ inches

Explanation:

Step1: Recall the volume formula of a cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\), where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height.

Step2: Identify the given values

Given \(V = 3768\) cubic inches and \(r=10\) inches.

Step3: Substitute the values into the formula and solve for \(h\)

Substitute \(V = 3768\), \(r = 10\) into \(V=\pi r^{2}h\).
We get \(3768=\pi\times(10)^{2}\times h\).
First, calculate \(\pi\times(10)^{2}=100\pi\approx100\times3.14 = 314\).
Then, \(h=\frac{3768}{314}\).
\(h = 12.00\)

Answer:

\(12.00\)