What is the depth of the soup ( the area shaded) 20cm is the diameter?
1 answer:
Answer:
8 cm
Step-by-step explanation:
Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-
⇒ cos 37° = AB / AC
⇒ cos 37° = AB / 20 cm
⇒ 4/5 = AB / 20 cm .
⇒ AB = 4/5 * 20 cm .
⇒ AB = 16 cm .
Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .
<h3><u>Hence</u><u> </u><u>the</u><u> </u><u>depth</u><u> </u><u>of</u><u> </u><u>the </u><u>soup</u><u> </u><u>is</u><u> </u><u>8</u><u> </u><u>cm</u><u> </u><u>.</u></h3>
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