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Q) 21 glass spheres, each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and, then the box is filled with water. Find the volume of water filled in the box.
Ans:
STEP BY STEP SOLUTION
Let’s draw a diagram for this question to understand it better:
Step 1:
Volume of a cuboid = L x B x H
Here given that L = 16 cm, B = 8 cm, H = 8 cm
∴ Volume of the cuboidal tank = 16 x 8 x 8 = 1024 cm3
Step 2:
Volume of Sphere = 
Given that the radius of each sphere = 2 cm
∴ Volume of each sphere = 
∴ Volume of 21 spheres = 21 X 
= 
= 32 x 22 = 704 cm3
Step 3:
Now, the volume of water in the tank = Volume of the tank – Volume of 21 spheres
= 1024 – 704 = 320 cm3
Therefore, the volume of the water in the box is 320 cm3
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