If a Cylindrical Tank Holds 10000 Gallons of Water, Which $t$

question 81

Short Answer

If a cylindrical tank holds 10000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after $t$ minutes as
$V ( t ) = 10000 \left( 1 - \frac { 1 } { 60 } t \right) ^ { 2 } , 0 \leq t \leq 60$
Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of $V$ with respect to $t$ ) as a function of $t$ .

---

Definitions:

Global Expansion

Refers to a company's growth beyond its original national boundaries into international markets.

Middle Class

A socio-economic group between the working class and upper class, characterized by moderate income, education, and usually employment in professional or managerial positions.

Youngest Populations

Regions or countries with a high proportion of children and young adults relative to their total population.

Global Product Strategy

A business approach that involves designing, developing, and marketing products with the global market in mind rather than focusing on individual countries.