Question

A sphere of 6cm diameter is dropped into cylindrical vessel of diameter 12cm. Find the rise in water in the vessel.

Answer 1

Given diameter of sphere= 6cm

Therefore radius= 3 cm

Also given diameter of cylinder vessel = 12 cm

Therefore radius = 6 cm

Let the height of water raised = h cm

Now, volumn of water raised= volumn of sphere

22/7×6×6×h = 4/3×22/7× 3×3×3

Therefore h = 1 cm

1 cm of water will be raised up

MARK ME BRAINLIEST

Answer 2

Given:-

• Radius of Sphere → Diameter/2 = 3cm

• Radius of Cylindrical Vessel → Diameter/2= 6cm

To Find:-

• The Rise in water in the vessels.

Formulae used:-

• Volume of Hemisphere = 4/3πr³

• Volume of Cylinder = πr²h

Now,

→ Volume of Hemisphere = 4/3πr³

→ 4/3 × π × 3 × 3 × 3

→ 36π

Hence, The Volume of Hemisphere is 36π.

Suppose water level rises by h cm in the cylinder vessels. Then,

→ Volume of Sphere = Volume of Cylinder

→ 36πcm³ = πr²h

→ 36π = π(6)²h

→ 36π = 36πh

→ 1 = h

So, The height of the water level rises by 1cm.