1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# 150 spherical marbles, each of diameter 1.4cm, are dropped in the cylindrical vessel of diameter term containing some water, which are completely immerged in water. Find the rise in the level of water in vessel. Sir/Mam what is the ans of these is it 5.6 or 216 approx???

Open in App
Solution

## Diameter of the spherical marble = 1.4 cm Radius of the marble = 0.7 cm Volume of each marble = 4 3 × π × r3 = 4 3 × 22 7 × (0.7)3 = 1.44 Volume of 150 marbles = 1.44 × 150 = 216 cu cm Let the rise in level of water in the cylindrical vessel = 'h' cm Diameter of the vessel = 7 cm Radius of the vessel = 3.5 cm Volume of the increased level of the water = π × r2 × h = 22 7 × (3.5)2 × h Volume of the increased level of the water = Volume of 150 marbles 22 7 × (3.5)2 × h = 216 ⇒ h = 5.6 cm Therefore, rise in level of water in the vessel = 5.6 cm.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Basics
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program