Q16 of 79 Page 244

A cylindrical bucket of height 32 cm and radius 18 cm is filled with sand. The bucket is emptied 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.

Given, Height of cylindrical bucket(h) = 32 cm


Radius of cylindrical bucket(r) = 18 cm


Height of conical heap (H) = 24 cm


Radius of conical heap (R) = ?


⇒ Volume of cylindrical bucket = Volume of conical heap


⇒ r2h = R2H


⇒ 181832 = R224


⇒ 181832 = R28


⇒ R2 =


⇒ R2 = 18184


⇒ R =


⇒ R = 182


⇒ R = 36 cm


Slant height (L) =


L =


L =


L =


L = 12 cm


Slant height = 12 cm


Radius of conical heap = 36 cm


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