A water tank has the shape of an upside-down cone with radius \( 2\text{m} \) and height \( 5\text{m} \) . The water is running out of the tank through a small hole at the bottom at a speed proportional to the square root of the depth of the water in the tank. Suppose that the water is running out at a rate of \( 3 \text{ m}^3/\text{min} \) when the depth of the water in the tank is \( 4\text{m} \) . Find the rate at which the water level is changing at this moment.

Related Topics

• session:2013-14
• session:2018-19
• session:2011-12
• session:2022-23
• session:2021-22
• session:2015-16
• session:2016-17
• session:2010-11
• session:2023-24
• session:2024-25
• session:2017-18
• session:2014-15
• session:2019-20
• session:2020-21