Pebble

The aquarium with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm is filled with two-thirds of water. 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=23 c=23 30=20 cm  D=18 cm r=D/2=18/2=9 cm  V=43 π r3=43 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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