A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.
Volume of sphere =43πr3=43×227×(10.5)3=4851 cm3
Now,
Volume of one cone =13πr2 h=13×227×(3.5)2×3=38.5 cm3
Total number of cones = Volume of metallic sphere ÷ volume of one cone
=485138.5
= 126 cones
Total number of cones can be formed is 126