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A cylindrical vessel with radius 6 cm and height 5 cm is to be made by melting a number of spherical metal balls of diameter 2 cm. The minimum number of balls needed is:
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \pi {r^2}h = \frac{4}{3}\pi {R^3} \times n \cr
& {6^2} \times 5 = \frac{4}{3} \times {1^3} \times n \cr
& n = 135 \cr} $$
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