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

Explanation:

diameter = 18 inches

radius = r = 18/2 = 9 in

Volume of cylinder = 405π/2

`\pi r^(2)h = (405)/(2)\pi \\\\\\\pi * 9 * 9* h =(405)/(2)\pi \\\\\\h =(405)/(2*9*9*\pi )*\pi \\\\\\h=(5)/(2)`

h = 2.5 inches