SOLUTION: A bowl is in the shape of a hemisphere (half sphere) with radius 10 cm. The surface of the water in the container has a radius of 7 cm. How deep is the water? Give your answer to o

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Question 1108532: A bowl is in the shape of a hemisphere (half sphere) with radius 10 cm. The surface of the water in the container has a radius of 7 cm. How deep is the water? Give your answer to one decimal place.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The distance from the hemisphere center to the water surface in the bowl is (Pithagoras)  sqrt%2810%5E2-7%5E2%29 = sqrt%28100-49%29 = sqrt%2851%29 cm.


Then the depth of the water in the bowl is


10+-+sqrt%2851%29 = 2.9 cm  (to one decimal place).