A rectangular aquarium (100 cm L x 50 cm W x 60 cm H) contains water with an initial level of 20 cm. 10 identical metal spheres, each with a diameter of 10 cm, are gently lowered into the aquarium. Assuming the spheres are fully submerged, what is the rise in the water level?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. cm.
Base area = 100 × 50 = 5000 cm2
Radius = 10/2 = 5 cm
Volume of 1 sphere = (4/3)πr3
= (4/3) × π × 53
= (500/3)π cm3
Volume of 10 spheres = (5000/3)π cm3
Rise in water level = (5000/3)π ÷ 5000 = π/3 cm