Question

Water is being drained through a hole at the bottom of a tank at a velocity of 10 m/s. For a tank diameter of 1.18 m and a hole diameter of 5 cm, find the rate of change of the water level in the tank in m/min.

Answer 1

@darkknight taggin myself for tomorrow, this is a related rates calc problem

Answer 2

- this 10 m/s is the first water level change

so i think bc. the measures of tank dont changed we can use the rule of 3 simple

10 m change in 1 sec
x m change in 60 sec = 1 min.

x = 60*10/1 = 60*10 = 600 m/min.

Answer 3

@supie any idea here or do you agree me ?

@Laylalyssa

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
@supie any idea here or do you agree me ?

@Laylalyssa
\(\color{#0cbb34}{\text{End of Quote}}\)
I agree,

Answer 5

ty

Answer 6

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
ty
\(\color{#0cbb34}{\text{End of Quote}}\)
yw

Answer 7

Did u solve it are you good with it? if ur good then close the question

Answer 8

Water is being drained through a hole at the bottom of a tank at a velocity of 10 m/s. For a tank diameter of 1.18 m and a hole diameter of 5 cm, find the rate of change of the water level in the tank in m/min.

convert everything to cm per sec
water draining from hole at 1000cm/sec
diameter = 118 cm and radius = 59cm
the hole has a diameter of 5 cm

Answer 9

u find the rate of change by finding the change of velocity, by using formula for a cylindrical tank
\[V=\pi r^2h\]
We need to isolate the radius and solve for the height
not sure how to do this since you did not give us a height. Unless I'm bonkers and don't understand the problem

Answer 10

@jhonyy9 this feels like a related rates problem (calc) bc i learned it a month ago, I don't think you did this one right. @Laylalyssa any idea

Answer 11

\(\color{#0cbb34}{\text{Originally Posted by}}\) @darkknight
@jhonyy9 this feels like a related rates problem (calc) bc i learned it a month ago, I don't think you did this one right. @Laylalyssa any idea
\(\color{#0cbb34}{\text{End of Quote}}\)
no, bye