A cylindrical jar of radius 6 cm contains oil. Iron spheres each of radius 1.5 cm are immersed in the oil. How many spheres are necessary to raise the level of the oil by two centimetres?
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Answered by
82
Answer:
16 spherical balls are necessary to raise the water level by 2 cm.
Step-by-step explanation:
Given :
Radius of the cylindrical jar (R) = 6 cm
Height of the oil in cylindrical jar (h) = 2 cm
Radius of the iron sphere, r = 1.5 cm
Let the number of iron spheres be (n)
Volume of the cylindrical jar is equal to the sum of volume of (n) number of iron spheres.
n = Volume of the cylindrical jar / Volume of the iron sphere
n = πR²h / 4/3πr³
n = R²h / 4/3r³
n = (6² × 2) / (4/3 × 1.5³)
n = (36 × 2 × 1000 × 3 ) / ( 4 × 15 × 15 × 15)
n = (9 × 2 × 1000 )/ (5 × 225) = (2 × 200)/ 25 = 2 × 8 = 16
n = 16
Hence, 16 spherical balls are necessary to raise the water level by 2 cm.
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Answered by
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HERE IS YOUR ANSWER:--------
NOW THE THINGS GIVEN IN QUESTION,
R1=6CM
R2=1.5CM
HEIGHT (H)=2CM
HOPE THIS HELPS YOU...
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