How many solid spherical balls of radius 6 cm can be made by melting a solid hemisphere of radius 12 cm?
Answer & explanation
Correct answer: option 1
We know that,
Volume of a sphere = \(\frac{4}{3}\)πr3
Volume of a hemisphere = \(\frac{2}{3}\)πr3
We have,
Radius of spherical ball = 6 cm
Radius of solid hemisphere = 12 cm
Let x be the number of spherical balls made,
\(\frac{4}{3}\)π(6)3 = x × \(\frac{2}{3}\)π(12)3
x = 4