Q. 134.8( 6 Votes )

A cylindrical bucket, 32 cm high and 18 cm of radius of the base, is filled with sand. This 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 the slant height of the heap.

Answer :

Let the radius of the heap be r and the slant height h,


So, we have


Height of the cylindrical bucket = 32cm


Radius of the base of cylindrical bucket = 18cm


Height of the conical heap = 24cm


Volume of cylinder = volume of cone


πr2h =



r2 = 18 × 8 × 4


r = 18 × 2


r = 36cm


slant height l =





l = 43.27cm


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area of Right Circular CylinderSurface Area of Right Circular CylinderSurface Area of Right Circular Cylinder52 mins
Smart Revision | Surface Area and Volume of CubeSmart Revision | Surface Area and Volume of CubeSmart Revision | Surface Area and Volume of Cube40 mins
Smart Revision | Surface Area and Volume of CuboidSmart Revision | Surface Area and Volume of CuboidSmart Revision | Surface Area and Volume of Cuboid48 mins
Surface Area of Right Circular CylinderSurface Area of Right Circular CylinderSurface Area of Right Circular Cylinder49 mins
Surface Area of Cube and CuboidSurface Area of Cube and CuboidSurface Area of Cube and Cuboid49 mins
Smart Revision | Surface Area and Volume of CylinderSmart Revision | Surface Area and Volume of CylinderSmart Revision | Surface Area and Volume of Cylinder51 mins
Surface Area and Volume of SpheresSurface Area and Volume of SpheresSurface Area and Volume of Spheres40 mins
Surface Area and Volume of ConeSurface Area and Volume of ConeSurface Area and Volume of Cone24 mins
Surface Area and Volume of Right Circular CylindersSurface Area and Volume of Right Circular CylindersSurface Area and Volume of Right Circular Cylinders42 mins
Quiz | MensurationQuiz | MensurationQuiz | Mensuration42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses