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Sphere of diameter 18cm is dropped …

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Sphere of diameter 18cm is dropped into cylinder vessel of diameter 36cm pathly filled with water if the sphere is completely empty. Find the water level rise

Posted by Vathsala Ranganath 3 years, 9 months ago

CBSE > Class 10 > Mathematics

3 answers

Shwêtã Árîc 3 years, 9 months ago

r & R be the radius of the sphere and cylindrical vessel respectively. Now, 2r=18cm⇒r=9cm 2R=36cm⇒R=18cm Let the rise in water level in the cylindrical vessel be ′h′ cm. Volume of sphere =34πr3 Volume of liquid displaced in the cylindrical vessel =πR2h If the sphere is completely submerged in the vessel, then volume of liquid displace in the cylindrical vessel = Volume of the sphere Therefore=34πr3⇒(18)2×h=34×(9)3 ⇒h=3×(18)24×(9)3=3cmAns

1Thank You

Asha Kumari 3 years, 9 months ago

3 cm

1Thank You

Sanjukta Buragohain 3 years, 9 months ago

3 cm

3Thank You

ANSWER

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