Question

A solid metallic sphere of radius 10.5cm is melted and recast into a number of smaller cones each of radius 3.5cm and height 3cm find the number of cones so formed

Answer 1

No. of cones that can be made =126
Explanation:Volume of solid sphere =(43)πr3
r=10.5cm
∴Volofsphere=4⋅22⋅10.537
=14553cm3
Volume of cone =(13)πr2h
r=3.5cm,h=3cm
∴Volume of one cone =22⋅3.52⋅37
=115.5cm3
No. of cones that can be made from solid sphere = (vol. of sphere )/(vol. of cone)
=14553115.5=126