Spherical tank

The tank of a water tower is a sphere of radius 35ft. If the tank is filled to one quarter of full, what is the height of the water?

Correct result:

h =  22.8446 ft

Solution:

r=35 ft  V=43 π r3=43 3.1416 353179594.38 ft3  V1=14 V=14 179594.3844898.595 ft3  V2=π h23(3rh)  V1=V2 π r33=π h23(3rh) r3=h2(3rh) 42875=(105h)h2 h3105 h2+42875=0  h1=18.6231 h2=22.8446 h3=100.778  0<h<2r  h=h2=22.8446=22.8446 ft   Verifying Solution:   V2=π h23 (3 rh)=3.1416 22.844623 (3 3522.8446)44898.5017 ft3



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Showing 1 comment:
#
Math student
ca you show me the step by step of the height

1 month ago  2 Likes
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