Applied Project: How Fast Does a Tank Drain? Question 1

CORRECTION: I accidently drew the length of the diameters when marking down radii, apologies for the confusion. In this video I go over another applied project, which is a part of some very interesting math applications at the end of each chapter in my calculus book, and this time solve the applied project titled: How Fast Does a Tank Drain? The applied project looks at modeling a tank of water in terms of how fast it drains as the water level height decreases. This video involves solving Question 1 of the applied project which is looking at modeling a simple cylindrical tank and applying the Torricelli's Law for drainage of a fluid in a tank. This example shows how the drainage of water from a tank can be modeled by a differential equation, and in this question it's a separable equation which allows us to solve for the height of the water level with time explicitly. This is a very interesting video on a real world example of applying differential equations to create solutions and I will be going over further questions on this applied project in later videos; so make sure to watch this video and stay tuned for more!! Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsstd... View Video Notes on Steemit: https://steemit.com/mathematics/@mes/... Related Videos: Applied Project: How Rainbows are Formed and the Order of it's Colors :    • Applied Project: How Rainbows are Formed a...   Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 :    • Applied Project: How Double Rainbows are f...   Applied Project: The Shape of a Can - The Science behind Can Manufacturing :    • Applied Project: The Shape of a Can - The ...   Applied Project: Where Should a Pilot Start Descent?:    • Applied Project: Where Should a Pilot Star...   Applied Project: Building a Better Roller Coaster:    • Applied Project: Building a Better Roller ...   Applied Project: Where to Sit at the Movies:    • Applied Project: Where to Sit at the Movies   Differential Equations: Separable Equations:    • Differential Equations: Separable Equations   . ------------------------------------------------------ Become a MES Super Fan!    / @mes   DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: [email protected] Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps