You are designing a container in the shape of a cylinder. The radius is 5 inches. You want the container to hold at least 725π cubic inches. What is the least possible height of the container?

The answer to your question is: h = 14.5 in

Step-by-step explanation:

Data

radius = 5 in

Volume = 725 π in³

height = ?

Formula

Volume = 2πr²h

Substitution

725 π in³ = 2πr² h

h = 725π / 2πr²

h = 725 / 2 (5) ²

h = 725 / 50

h = 14.5 in