Spherical tank

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

Correct answer:

h =  22.8446 ft

Step-by-step explanation:

r=35 ft  V=34 π r3=34 3.1416 353179594.38 ft3  V1=41 V=41 179594.3844898.595 ft3  V2 = 3π h2(3rh)  V1 = V2 3π r3 = 3π h2(3rh) r3 = h2(3rh) 42875 = (105  h) h2 h3  105 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=3π h2 (3 rh)=33.1416 22.84462 (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

3 years ago  3 Likes




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