A spherical tank is filled with water. The radius of the sphere is 6 meters. The tank is used to fill cylindrical containers, each with a radius of 1 meter and a height of 12 meters. How many containers can be filled?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 24.
Volume of sphere = πr3 = π × (6)3 = 288π m3
Volume of one cylinder = πr2h = π × (1)2 × 12 = 12π m3
Number of containers = 288π ÷ 12π = 24