A hemispherical tank of diameter 10m is filled by water issuin from a pipe of radius 20cm at 2m/s. calculate the time in minutes the time it takes to fill the tank

Question

anonymous · Answer

Find the volume and then ...

sasogeek · Answer

i'm lost on this one...

anonymous · Answer

Um what is the volume of a hemisphere?

bahrom7893 · Answer

half the volume of a sphere, come on saso, think...

sasogeek · Answer

2/3(pi r) cubed ?

bahrom7893 · Answer

yup

anonymous · Answer

Good work, now what is the volume of a right cylinder?

sasogeek · Answer

$$\large \pi r^3 $$

anonymous · Answer

Don't you think there should be a variable for length too?

sasogeek · Answer

$$\large \pi r^3h   \ \huge \text{ :D}$$

anonymous · Answer

Nopes ;)

Hint: Volume = Area of the base $\times$ Height

sasogeek · Answer

$$\large \text{facepalm :(   } \huge \pi r^2h $$

anonymous · Answer

That's right saso :)

sasogeek · Answer

well what about the main question... i'm supposed to find the time it takes to fill the tank... i have volume, i have rate... what else?

anonymous · Answer

you are ready to put together the final pieces.

sasogeek · Answer

and what am i supposed to do with the radius of the pipe and i think the rate is missing something... isn't it supposed to be $\large 2m^3s^-1 $

sasogeek · Answer

$$\large 2m^3s^{-1} $$

anonymous · Answer

Here is the basic idea:

Find the volume of the tank
Find the volume of the water flowing through the pipe per second.
Divide and find the time required in mints.

Watch for units.

I hope this should help.

sasogeek · Answer

thanks

anonymous · Answer

Glad to help saso :)