A rectangular tank measures 12 cm long, 10 cm wide, and 6 cm high. If a spherical ball of the largest possible size is placed inside this tank, what is the volume of the space not occupied by the ball?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. (720 - 36π) cm3.
Largest sphere fits in smallest dimension = Height 6 cm ⇒ Radius = 3 cm
Volume of tank = 12 × 10 × 6 = 720 cm3
Volume of sphere = (4/3)πr3 = (4/3) × π × 33 = 36π cm3
Space not occupied = (720 – 36π) cm3