Question

the volume of a cylinder is 576π cubic inches. the radius of the circular base is 4 inches. what is the height of the cylinder? recall the formula v = πr²h. 24 inches 72 inches 18 inches 36 inches

Explanation:

Step1: Substitute the given values into the formula

Given \(V = 576\pi\), \(r = 4\), substitute into \(V=\pi r^{2}h\). So \(576\pi=\pi\times4^{2}\times h\).

Step2: Simplify the equation

Divide both sides of the equation \(576\pi=\pi\times16\times h\) by \(\pi\). We get \(576 = 16h\).

Step3: Solve for \(h\)

Divide both sides of \(576 = 16h\) by \(16\). So \(h=\frac{576}{16}=36\).

Answer:

\(36\) inches