Question

150 spherical marbles,each of diameter 1.4cm, are dropped in a cylindrical vessel of

diameter 7cm containing some water and are completely immersed in water.Find the

rise in the level of water in the vessel.

GUYS CHALLENGE BY RUPALI PARIDA SOLVE THIS AND I KNOW THE ANSWER SO PLEASE DON'T SPAM✌✌❎❎​

Answer 1

Answer:

hey friend here is your answer ..,,,,,,,

Diameter of marble = 1.4 cm

Radius of marble = 0.7 cm

Number of marbles = 150

Diameter of cylinder = 7cm

Radius of cylinder = 3.5cm

Let the height of the water raised when 150 spheres are dropped in the vessel.

Volume of 150 marbles = Volume of water raised by height 'h' inside the vessel

150 x 4 over 3 x straight pi x 0.7 x 0.7 x 0.7 = straight pi x 3.5 x 3.5 x h [vol. of sphere = 4 over 3 straight pi r3 and vol. of cylinder = straight pi r2 h]

50 x 4 x (0. 7)3 = (3.5)2 x h

200 x 0.343 = 12.25 x h

68.6 / 12.25 = h

5.6 = h

Height of water raised (h) = 5.6 cm

Step-by-step explanation:

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Answer 2

Hey mate!

Thank you for asking this question! ❤

Answer:

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The rise in level of water in the vessel is 5.6 cm.

Step-by-step explanation:

Let 'h’ be the rise in level of water in the cylindrical vessel.

Given :

Diameter of the cylindrical vessel = 7 cm

Radius of the cylindrical vessel , R = 7/2 = 3.5 cm

Diameter of the spherical marble = 1.4 cm

Radius of the spherical marble , r = 1.4/2 = 0.7 cm

Volume of each marble = 4/ 3 × π r³

Volume of 150 marble = 150 × 4/ 3 × π (0.7)³ ………(1)

Volume of water displaced in the cylindrical vessel = πR²h = π(3.5)²× h ……….(2)

Since, volume of water displaced in the cylindrical vessel is equal to the volume of 150 spherical marbles

Volume of water displaced in the cylindrical vessel = Volume of 150 spherical marbles

π(3.5)²× h = 150 × 4/ 3 × π (0.7)³

(3.5)² × h = 150 × 4/ 3 × (0.7)³

h = [150 × 4 × (0.7)³] /[ (3.5)² × 3]

h = [150 × 4 × 0.7 × 0.7 × 0.7] /[ 3.5 × 3.5 × 3]

h = (50 × 4 × 0.7) / ( 5 × 5)

h = (200× 0.7)/ 25 = 8 × 0.7 = 5.6

h = 5.6 cm

Hence, the rise in level of water in the vessel is 5.6 cm...

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