A solid sphere of radius 4 cm is carved into 27 smaller identical spheres. What is the radius of each smaller sphere?
Show answer & explanation
Correct answer: A
Explanation
Radius of bigger sphere = 4 cm, smaller sphere = 27
According to the formula,
Volume = r³
R³ = n × r³
4³ = 27 × r³
64 = 27r³
r³ = 64/27 = 4/3 cm