The outer radius of a spherical shell is 8 cm, and the

Solution

Given: Outer radius (R) = 8 cm Thickness of shell = 2 cm So, inner radius (r) = 8 − 2 = 6 cm Volume of metal used = Volume of outer sphere − Volume of inner sphere Formula for volume of a sphere: V = (4/3) × π × r³ So, Volume of metal = (4/3) × π × (R³ − r³) = (4/3) × (22/7) × (8³ − 6³) = (4/3) × (22/7) × (512 − 216) = (4/3) × (22/7) × 296 Now calculate: 4 × 22 × 296 = 26048 So, Volume = 26048 / 21 cubic cm ≈ 1240.38 cubic cm³