A fish tank has dimensions 36 cm wide by 1.0 m long by 0.60 m high. If the filter should process all the water in the tank once every 3.0 h, what should the flow speed be in the 3.0-cm diameter input tube for the filter?

Explanation:

Hello. So the question is taken home organics Felix. So given that the fish tank has a dimension of 36cm Right by one m long by and 0.6 m high. If the filter should process all the water in tanks once every three years too young, what should be the flows building in the three centimeter diameter input you for the filter. So let us first evaluate the total volume over time in order to evaluate in order to use finally the continuity equation. So we know that volume over time is equal to area into velocity. So by using that we can easily evaluate the value velocity. Okay, so given that the value of volume is equal to well it is 36. 1 first is in centimeter Other tuition meter. So that would be the .36, 0.26 Into 0.1. So if one in two, 0.6 into one in 20.6 and that will be equal to 16 over thousands. They were going to 16 m to And time is equal to three out and three. We can convert easily into 2nd 32 30 600 checking and the area of course section of that you will be since the diameter is equal to please centimeter, then the value of area is by these wearable full pies 3.14 and these demeter that is three into 10. To the power minus 2/4 square over four. So let us evaluate, let us substitute this value in the equation we get V is equal to be over to we is your point 216 over three into 30 600 Into area is 3.14. And if the numerator four multiply 9 to 10 to the powerball minus four. So that is equal to So let us evaluate the value volume, which is You point to 16 into four divided by so evaluator, low velocity divided by three, Divided by 3600, divided by 3.14. Well I did buy 90 -4 And that will lose equal to the open Geo 283. So let me to introduce their value. The data is your .0283%, which is the required velocity of the water. Hope this clears your doubt and thank you. This is the velocity not volume, volume is having the capital. We so hope this clears your doubt and thank you.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2