A spherical water tank with a radius of 4 meters is drained and refilled into 64 identical smaller spherical tanks. Assuming no water is lost in the transfer, what is the radius of each smaller tank?
Show answer & explanation
Correct answer: A
Explanation
Given:
Radius of the larger spherical tank = 4 m
Number of smaller tanks = 64
By formula:
Volume of the sphere = (4/3)πr³
Volume of the larger tank = (4/3)π(4³) = 256π/3
Volume of the smaller tank = (4/3)πr³
64 × (4/3)πr³ = 256π/3
64r³ = 64
r³ = 1
r = 1