High School

We appreciate your visit to If a tank holds 3000 gallons of water which drains from the bottom of the tank in 40 minutes then Torricelli s Law gives the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

If a tank holds 3000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the volume \( V \) of water remaining in the tank after \( t \) minutes as:

\[ V = 3000 \left(1 - \frac{t}{40}\right)^2 \quad 0 \leq t \leq 40 \]

Find the rate at which the water is draining out of the tank after:

(a) 5 minutes
(b) 20 minutes
(c) 40 minutes

Answer :

Final answer:

To find the rate at which water is draining out of the tank, we can use Torricelli's Law equation. We need to find the derivative of V with respect to t and substitute different values of t in the derivative equation.

Explanation:

To find the rate at which water is draining out of the tank after a certain amount of time, we can use Torricelli's Law. The volume of water remaining in the tank after t minutes can be calculated using the equation V = 3000(1 - t/40)2. (a) To find the rate at which water is draining out after 5 minutes, we need to find the derivative of V with respect to t and substitute t = 5 in the derivative equation. (b) To find the rate at which water is draining out after 20 minutes, we need to find the derivative of V with respect to t and substitute t = 20 in the derivative equation. (c) To find the rate at which water is draining out after 40 minutes, we need to find the derivative of V with respect to t and substitute t = 40 in the derivative equation.

Learn more about the Rate of drainage here:

https://brainly.com/question/31058539

#SPJ11

Thanks for taking the time to read If a tank holds 3000 gallons of water which drains from the bottom of the tank in 40 minutes then Torricelli s Law gives the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada