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water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.


the depth of the water increases linearly

please help soon I have been stuck on this problem for a really long time.

at 1:30 pm the water depth was 2.4ft


it is now 4:00 and the water depth is 3.9 ft


what will the water depth be at 5:00?

Respuesta :

isyllus

Answer:

The depth of water at 5:00 is 4.5 ft.

Step-by-step explanation:

Depth of water at 1:30 PM = 2.4 ft

Depth of water at 4:00 PM = 3.9 ft

Change in time = 4 - 1:30 = 2.5 hours

Depth increased in 2.5 hours = 3.9 - 2.4 = 1.5 ft

Now, we are given that the depth of water is increasing linearly, so after 4:00 PM as well, the water depth will keep on increasing with the same rate as that of previous time intervals.

We have to find out the depth at 5:00 PM i.e. we need to find out the increase from 4:00 PM to 5:00 PM (1 hour) and then add it to depth at 4:00 PM.

Depth increased in 2.5 hours = 1.5 ft

Depth increased in 1 hour = 1.5 / 2.5 = 0.6 ft

Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour

[tex]\Rightarrow[/tex] 3.9 + 0.6 = 4.5 ft

Depth increased in 2.5 hours = 1.5 ft

So, The depth of water at 5:00 is 4.5 ft.

The depth of water at 5:00 is 4.5 ft.

Given that,  

  • Depth of water at 1:30 PM = 2.4 ft
  • Depth of water at 4:00 PM = 3.9 ft
  • Si, Change in time = 4 - 1:30 = 2.5 hours

Now  

Depth increased in 2.5 hours is

= 3.9 - 2.4

= 1.5 ft

Depth increased in 1 hour = [tex]1.5 \div 2.5[/tex] = 0.6 ft

Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour

= 3.9 + 0.6

= 4.5 ft

Learn more: https://brainly.com/question/25914450?referrer=searchResults

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