**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 cm^{3}

**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 cm^{3}

**Step 3:**

Now, the volume of water in the tank = Volume of the tank – Volume of 21 spheres

= 1024 – 704 = 320 cm^{3}

**Therefore, the volume of the water in the box is 320 cm ^{3}**

**Please do press “Heart” button if you liked the solution.**