A sphere of radius 3 cm is dropped into a cylindrical vessel partly fi

1.	A sphere of radius 3 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is submerged completely. Then the surface of the water is raised by.1. 1 cm2. 2 cm3. 3 cm4. 4 cm
Answer» Correct Answer - Option 1 : 1 cm Given: Radius of sphere = 3 cm Radius of cylinder = 6 cm Concept: Volume of cylinder = πr²H Volume of sphere = (4/3)πR³ Where, r → Radius of the cylinder H → Height of the cylinder R → Radius of the sphere When the sphere is submerged then, The volume of sphere = Volume of cylinder Calculation: The volume of sphere = Volume of cylinder ⇒ (4/3) × π × (3)³ = π × (6)² × H ⇒ H = (36/36) ⇒ H = 1 cm ⇒ The surface of the water is raised = 1 cm ∴ The surface of the water is raised by 1cm

A sphere of radius 3 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is submerged completely. Then the surface of the water is raised by.1. 1 cm2. 2 cm3. 3 cm4. 4 cm

Answer» Correct Answer - Option 1 : 1 cm

Given:

Radius of sphere = 3 cm

Radius of cylinder = 6 cm

Concept:

Volume of cylinder = πr²H

Volume of sphere = (4/3)πR³

Where,

r → Radius of the cylinder

H → Height of the cylinder

R → Radius of the sphere

When the sphere is submerged then,

The volume of sphere = Volume of cylinder

Calculation:

The volume of sphere = Volume of cylinder

⇒ (4/3) × π × (3)³ = π × (6)² × H

⇒ H = (36/36)

⇒ H = 1 cm

⇒ The surface of the water is raised = 1 cm

∴ The surface of the water is raised by 1cm

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