Steven has a cylindrical fish tank with a diameter of 8 in & height of 14 in. He put some rocks that took up 50 cu in of space at the bottom of the tank. Then he filled the tank with spring water to 2 in from the top. Calculate the volume of water the fish has for swimming.
2007-04-08 09:22:27 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The water is filled to a height of 14 - 2 = 12 in. The cross-sectional area of the tank is equal to (πd^2)/4 = (π8^2)/4 = 16π, so the volume of a cylinder of height 12 would be 12*16π = 192π. The rocks take up 50 in^2, so the fish have 192π - 50 in^2 in which to swim, and you can calculate that numerically if you want, using π = 3.14.
2007-04-08 09:28:21 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋
Volume of fish tank = pi x radius(squared) x height
. = 3.142 x 4 x 4 x 14 = 703.808 cu in
Volume not filled = 3.142 x 4 x4 x 2 = 100.544 cu in
with water
Hence,
Volume of water = 703.808 - 100.544 - 50 = 553.264 cu in
fish can swim
2007-04-08 09:41:34 · answer #2 · answered by najahian85 2 · 0⤊ 0⤋
first :
we let height = h = 14 -2 = 12
because it is not completlely filled
then diamer = 8 makes radius = 4 in
volume of cylider = pi * r^2h
= 22/7 * (4)^2 (12) = 603.428 in^3
then we subtract the volume occupied by stones
603.428 - 50 = 553.428in^3
and that's the volume available for fish
i hope they like it
hope that helllpppsss
2007-04-08 09:32:04 · answer #3 · answered by emy 3 · 0⤊ 0⤋
the volume up to 12 inch is pi 4^2 * 12 ~ 603.19 cu in
the rocks take up 50
so the fish have 553.19 cu in
2007-04-08 09:31:58 · answer #4 · answered by hustolemyname 6 · 0⤊ 0⤋
volume of water the fish has for swimming= total vol of cylinder(pi*8*14)-vol of rocks(50)-vol not filled(pi*8*2)
2007-04-08 09:34:48 · answer #5 · answered by sreenidhi.a_85 2 · 0⤊ 0⤋