RD Sharma Solutions For Class 10 Chapter 16 – Surface Areas And Volumes Exercise 16.1 Page No: 16.27 1. How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm? Solution: Given, A solid sphere of radius, R = 8 cm With this sphere, we have to make spherical balls of radius r = 1 cm Let’s assume that the number of balls made as n Then, we know that Volume of the sphere = 4/3 πr 3 The volume of the solid sphere = sum of the volumes of n spherical balls. n x 4/3 πr 3 = 4/3 πR 3 n x 4/3 π(1) 3 = 4/3 π(8) 3 n = 8 3 = 512 Therefore, 512 balls can be made of radius 1 cm each with a solid sphere of radius 8 cm. 2. How many spherical bullets each of 5 cm in diameter can be cast from a rectangular block of metal 11dm x 1 m x 5 dm? Solution: Given, A metallic block of dimension 11dm x 1m x 5dm The diameter of each bullet = 5 cm We know that, Volume of the sphere = 4/3 πr 3 Since, 1 dm = 10 -1 m = 0.1 m The volume of the rectangular ...