Answer to Question #2945 in Abstract Algebra for vanessa

Question

At the end of the second day of the carnival some water was drained from the tank. the volume of water drained was 35.3 cubic feet. using your answer frm b detemine the height in feet of the water remaing in the tank after the water was drained. radius= 3 feet hieght is 5 feet but filled with 4 feet water answer from b is 75.3 cubic feet.

Answer 1

Solution 1:
If V(from b)=75.3 cubic feet,
b=V_b/(πr²) = 75.3/(3.14*3³)= 75.3/27.9=2.7 feet

Solution 2:
V(after drained) = V(tank) - V(drained) = πr²*h-35.3 = 3.14*3²*4-35.3=76.3 cubic feet
b=(V(after drained)) / (πr²) = 76.3/ 27.9 = 2.7 feet