Question

A cylinder has a diameter of 18 inches and a volume of 405/2π cubic inches. What is the height, in inches, of the cylinder? Enter the height in decimal form rounded to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

diameter = 18 inches

radius = r = 18/2 = 9 in

Volume of cylinder = 405π/2

$\pi r^{2}h = \frac{405}{2}\pi \\\\\\\pi * 9 * 9* h =\frac{405}{2}\pi \\\\\\h =\frac{405}{2*9*9*\pi }*\pi \\\\\\h=\frac{5}{2}$

h = 2.5 inches