SOLUTION: water in a hemispherical bowl with a diameter of 30 cm begins to pour out when the bowl is tilted to an angle of theta equal to 22 degrees how deep is the water in the bowl.

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Question 1172914: water in a hemispherical bowl with a diameter of 30 cm begins to pour out when the bowl is tilted
to an angle of theta equal to 22 degrees how deep is the water in the bowl.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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water in a hemispherical bowl with a diameter of 30 cm begins to pour out when the bowl is tilted
to an angle of theta equal to 22 degrees how deep is the water in the bowl.
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Look at the figure in this link

https://socratic.org/questions/the-water-level-in-a-hemispherical-bowl-of-radius-12-inches-is-4-6-inches-what-a


From this figure,  the surface of the water in the hemispherical bowl will be


            15*sin(22°) = 15*0.374 = 5.62 cm     below horizontal level of the edge of the bowl (rounded).


Hence,  the depth of the water in the bowl will be   15 cm - 5.62 cm = 9.38 cm.         ANSWER

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Solved and answered.


It is good entertainment problem, which I never saw before . . .