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CBSE Class 9 Answered

A cylindrical bucket is internally 14 cm in radius and 30 cm deep. It is full of sand and when emptied, the sand stands in the shape of a cone 21 cm in radius. Calculate the height of the heap.
Asked by Topperlearning User | 26 Oct, 2017, 11:36: AM
answered-by-expert Expert Answer

Given: Radius of the cylindrical bucket (R) = 14 cm, depth (H) = 30 cm

Radius of conical heap (r)  = 21 cm

Let h be the height of the heap.

Now, Volume of cylindrical bucket = volume of the conical heap

begin mathsize 12px style πR squared straight H space equals space 1 third πr squared straight h straight h space equals space fraction numerator 3 cross times 14 cross times 14 cross times 30 over denominator 21 cross times 21 end fraction straight h space equals space 40 space cm end style

Answered by | 26 Oct, 2017, 01:36: PM

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