How many spherical bullets can be made out of a lead cylinder 45 m height and the radius 36 cm, each bullet having 4.5 cm in diameter.
Answer & explanation
Correct answer: option 2
r = \(\frac{4.5}{2}\) = 2.25 cm
N × volume of sphere = volume of cylinder
N × \(\frac{4}{3}\)\(\pi \)r3 = \(\pi \)r2h
N × 4 × (2.25)3 = 3 × 36 × 36 × 4500
N = \(\frac{3 × 9 × 36 × 4500}{2.25 × 2.25 × 2.25}\) = 3,84,000