A chemical-storage tank is a cylinder with a hemisphere cap on each end. If the height of the cylindrical portion is 16.2 ft and the radius of the cylinder and hemispheres is 2.8 ft, how many cubic feet of a chemical will the tank hold.

Question

anonymous · Answer

attachment

mathteacher1729 · Answer

I think for your class you might want to print out this little cheat sheet: http://math2.org/math/geometry/areasvols.htm :)

anonymous · Answer

Neat... thanks... its just starting the problem sometimes

mathteacher1729 · Answer

"Always look for the question mark."  That sentence usually tells you what you're looking for.  Is it area, is it volume, etc?  

Once you know that, then you can use the appropriate formulas to find ...area or volume, etc.

anonymous · Answer

Volume... ?? but im not sure what to subtract with the top on it

anonymous · Answer

volume is to fill right?

amistre64 · Answer

Vcyl + Vhemi = Vtotal

but your pic has a cone and not a halfsphere?

amistre64 · Answer

in fact your q and your pic dont match at all lol

radar · Answer

I would solved for the cylinder volume first.
Since you will have the hemishphere on each end, calculate for the a sphere of the given radius.

I got 399 cubic feet for the cylinder portion, and 91.595232 cubic feet for the ends giving a total cubic feet of 490.95

anonymous · Answer

ha ignore the picture... that went to a different problem... how embarrassing... good catch!!

anonymous · Answer

Danger... thats good math skills right there Amistre.. LOL

amistre64 · Answer

Vcyl = (16.2) pi (2.8)^2
Vsph = (4/3) pi (2.8)^3

anonymous · Answer

yes

amistre64 · Answer

490.960....

anonymous · Answer

kk... I have to do it the slow way... I'll check ...

amistre64 · Answer

:) thats fine

anonymous · Answer

yes I got by adding the two answers 490.95971
is that the cubic feet that will fill the tank... or more steps involved... LOL