A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, of each of radius 3.5 cm and height 3 cm. Find the number o cone of formed.
solid sphere radius =10.5cm
cone radius =3.5cm
cone height =3cm
→ volume of sphere =no.ofcone×volumeofeachcone
∴43πr3=n×13πR2.h
∴4×(10.5)3=n×(3.5)2×3
∴n=4×(10.5)3(3.5)2×3
∴n=126
→ no. of cone is 126