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Question

# A Sphere of diameter 6 cm is dropped into a right circular cylindrical vessel partly filled with water. The diameter of cylindrical vessel is 12 cm. If the sphere is completely submerged in water , by how much will the level of water rise In the cylindrical vessel ?

Hint:

### Volume of sphere

## The correct answer is: h = 1cm

### Explanation:

- We have given a iron sphere with diameter 6cm dropped into cylindrical can of diameter 12cm
- We have to find the rise in level of water when the sphere is completely immersed

Step 1 of 1:

We have a iron sphere with diameter .

Now the volume of the sphere will be

= 36π

Now we know that the volume of sphere will be equal to volume of water displaced by it.

So, Rise in volume of water will be 36π

So,

h = 1cm

So, The rise in level of water when the sphere is completely immersed will be h = 1cm .

Now we know that the volume of sphere will be equal to volume of water displaced by it.

So, Rise in volume of water will be 36π

So,

So, The rise in level of water when the sphere is completely immersed will be h = 1cm .

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