Question

A fish tank, in the shape of a rectangular prism with dimensions 51 centimeters by 39 centimeters by 28 centimeters, 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 5 centimeters and a height of 44 centimeters. how much water spills out of the tank? enter your answer in the box. use 3.14 for pi.

Answer 1

Step 1
find the total volume of the fish tank
volume of a rectangular prism=51*39*28----> 55692 cm³

step 2
find the 95% of the volume of the tank fish
95%=55692 cm³*.95-----> 52907.40 cm³

step 3
find the 5% of the volume of the tank fish
5%=55692*0.05----> 2784.6 cm³
or
55692-52907.4=2784.6 cm³


step 4
 find the volume of the log
volume of a cylinder=pi*r²*h
r=5 cm
h=44 cm
volume of a cylinder=pi*5²*44-----> 3454 cm³

step 5
water spills out of the tank=volume of the log-volume of the 5% of the tank
water spills out of the tank=3454 cm³-2784.6 cm³-----> 669.40 cm³

the answer is
669.40 cm³