A fish tank, in the shape of a rectangular prism with dimensions 70 cm by 44 cm by 38 cm, is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 6 cm and a height of 57 cm
How much water spills out of the tank?

Enter your answer in the box. Use 3.14 for pi.

vtank times 0.95
hmmm
tank full=vtank times 1
empty space=0.95-1=0.05vtank
so log=0.05vtank+spill
log-0.05vtank=spill

vtank=lwh
vlog=hpir^2
spill=spill

0.05vtank=0.05*70*44*38=5852
vlog=57*pi*6^2=6443.28

vlog-0.05tank=spill
6443.28-5852=spill
591.28=spill

591.28 cubic cm spill out or 591.28ml

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ArpitaK ArpitaK · Answer 2 · 2022-05-18T08:12:18+02:00

Answer is 591.28

Volume of rectangular prism and cylinder:

Volume of Rectangular Prism is length x breadth x height.

Volume of cylinder is [tex]\pi r^{2} h[/tex].

Here, (Given)

95 % filled with water. So, 5 % is not filled in the tank.

And when the solid cylinder is placed in tank, the 5 % tank is filled and spills out some water (let's say X).

(5% = 5/100 = 0.05)

i.e., volume of cylinder = 0.05 * (volume of tank) + X

=> (3.14) * (6cm) * (6cm) * (57cm) = 0.05 * (70cm * 44cm * 38cm) + X

=> 6443.28 = 5852 + X

=> 6443.28 - 5852 = X

=> X = 591.28

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