Q. 46 5.0( 1 Vote )

A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied out on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.

Answer :

Height of the cylindrical bucket =32 cm

Radius of the cylindrical bucket = 18 cm

Volume of the bucket = πr2 h

× 182 × 32 cm3

Height of the conical heap =24 cm

Let Radius of the conical heap =r cm

Volume of conical heap

Volume of conical heap=Volume of cylindrical bucket

r2 = 1296 cm

r = 36 cm

Slant height

slant height

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