an inverted cone has a radius of 4 cm and a height of 16 cm. initially, the cone is full of water, and it flows from the bottom of the cone at a rate of 50 $\text{cm}^3$ per minute. find the rate at which the height of water is decreasing (in cm per minute) when the height of the water is 5 cm.



Answer :

The flowrate of decreasing water is 3.98 cm/min after the water reaches 5cm of its height.

We need to know about the flowrate to solve this problem. The rate can be described as how much water flows in a unit of time. It can be represented by this equation

Q = V / t

where Q is flowrate, V is volume and t is time.

From the question above, the given parameters are

Inverted cone with

Q = 50 cm³/min

R = 4 cm

h = 5 cm

Hence, the rate of decreasing water is

Q = V / t

50 = A . h / t

50 = π . R² . h / t

50 = 22/7 . 4 . h / t

h/t = 3.98 cm/min

Find more on the flowrate at: https://brainly.com/question/21630019

#SPJ4