Question

the volume of this cylinder is 14,243.04 cubic millimeters. what is the height? round your answer to the nearest hundredth. 18 mm h h ≈ millimeters submit

Explanation:

Step1: Calculate the base area

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(r = 18\) mm, \(A=\pi\times18^{2}=324\pi\) \(mm^{2}\approx324\times3.14 = 1017.36\) \(mm^{2}\).

Step2: Find the height

The volume formula of a cylinder is \(V=Ah\). Given \(V = 14243.04\) \(mm^{3}\), \(h=\frac{V}{A}\). Substitute \(V = 14243.04\) and \(A = 1017.36\), \(h=\frac{14243.04}{1017.36}=14.00\) \(mm\).

Answer:

\(14.00\)