SOLUTION: A rectangular tank has a base 60cm by 20cm. A solid metal pyramid with a square base of sides 10cm each and height 27cm is placed inside the tank . The tank is then filled with wat

Algebra ->  Volume -> SOLUTION: A rectangular tank has a base 60cm by 20cm. A solid metal pyramid with a square base of sides 10cm each and height 27cm is placed inside the tank . The tank is then filled with wat      Log On


   

Question 972918: A rectangular tank has a base 60cm by 20cm. A solid metal pyramid with a square base of sides 10cm each and height 27cm is placed inside the tank . The tank is then filled with water until it just covers the pyramid. If the pyramid is removed, calculate the fall in the level of water in the tank.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
For pyramid:
a=side of square base; h=height; V=volume
V=%281%2F3%29a%5E2h
V=%281%2F3%29%2810cm%29%5E2%2827cm%29
V=900cm%5E3
For tank:
Volume per mm height=(60cm)(20cm)(0.1cm/mm)=120cm^3/mm
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Fall in level (mm)=900cm%5E3%2F120cm%5E3%2Fmm=7.5mm
Fall in level=7.5mm