The aquarium is filled with two-thirds water with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm.

Correct answer:

x =  21.8116 mm

Step-by-step explanation:

a=40 cm b=35 cm c=30 cm  c1=32 c=32 30=32 30=360=20 cm  D=18 cm r=D/2=18/2=9 cm  V=34 π r3=34 3.1416 933053.6281 cm3 V = abd  d=V/(a b)=3053.6281/(40 35)2.1812 cm  d < cc1  x=d mm=d 10  mm=2.1812 10  mm=21.812 mm=21.8116 mm

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Showing 2 comments:
Math student
where did we get the small d?

Dr Math
small d = height of water level rise. c is occupied yet, thus the next variable is d.

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