2015 · Q62
From the solid gold in the form of a cube of side length 1 cm, spherical solid balls each having the surface area π¹/3}\, ext{cm}² are to be made. Assuming that there is no loss of the material in the process of making the balls, the maximum number of balls made will be
Elementary MathematicsCircles
- A3
- B4
- C6
- D9
Explanation
4*pi*r^2 = pi^(1/3) gives r = 1/(2*pi^(1/3)); each ball has volume (4/3)*pi*r^3 = 1/6 cm^3, so the 1 cm^3 cube yields 6 balls. Hence option (c).