Question to Find Depth of Any Cyclindrical Figure

Topic : Depth of a Geometrical Figure

Question : Find the depth of the bucket from the given figure

Solution :

Let h be the depth of the bucket.
Draw BE perpendicular to DC. Then AC = BE = h
From the figure, AB = CE = 15
DE = CE – CD
= 15 – 8 = 7
triangle BDE is a right angle triangle with angle E = 90º

BE = h = depth of the bucket
BD = 25
DE = 7
Using Pythagorean Theorem,
BE² = BD² - DE²

= (25)² - (7)² = 625 – 49 = 576
BE = √576 = 24
Therefore the depth of the bucket is 24cm