Cylindrical Tank Height Calculation (1587kg, 3.2m)

[shelli8]

I have been stumped on this question for two days~!~
I am not even sure this is where to post this, but any answers or ideas or anything are greatly appreciated! the question is
'CALCULATE THE HEIGHT OF A CYLINDRICAL TANK FILLED WITH WATER HAVING A MASS OF 1587.0 KG. THE DIAMETER OF THE TANK IS 3.2 METERS, PLEASE HAVE THE ANSWER IN METERS'. I can't seem to convert the kilograms into meters, or I can't even find the height equation for this?~~! Any ideas?? thanks so much! shelli

 

[deltabourne]

V=pi*r^2*h
volume = mass/density
1L = .001 m^3 (thanks for pointing that out turin )

Just assume the tank is just made of water with no container.. makes it easier

(edited)

 

[turin]

I'm not sure, but I think you might want to be a little careful with your units (ρ_water ~ 1 kg/L); I got a very different answer for h. Oh, and double check your formula for volume (the factor of 2?). Otherwise, I agree with your procedure.

I have V_cyl = πr²h (A_base x height).

Solving algebraically for h and then using the definition of density and stuff, I got h = 0.20 m. This seems reasonable since a 3.2 m wide cylindrical tank is the area of several bath tubs, and 0.20 m of water in them would be pretty heavy.

 

[deltabourne]

Originally posted by turin
I'm not sure, but I think you might want to be a little careful with your units (ρ_water ~ 1 kg/L); I got a very different answer for h. Oh, and double check your formula for volume (the factor of 2?). Otherwise, I agree with your procedure.

ah, you're right, I was thinking of the circumference and accidentally threw in the 2

 

[shelli8]

Right on, that helps immensely, and even makes sense. Thanks for lending out your brains.