Question

A cylindrical vessel having diameter equal to its height is full of water into identical cylindrical vessel with diameter 42 cm and height 21 cm which are filled completely . find the diameter of the cylindrical vessel?


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Answer 1

Answer :-

R and r are radii of the bigger and small cylinders respectively.

Similarly L and l are lengths of bigger and smaller cylinders respectively.

Volume of initial cylinder =2×(Volume of smaller cylinders)

πR 2 L=2πr 2 l2R 3 =2(21) 3

as L=2R

Hence,

Diameter =42 cm

Answer 2

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A cylindrical vessel having diameter equal to its height is full of water into identical cylindrical vessel with diameter 42 cm and height 21 cm which are filled completely . find the diameter of the cylindrical vessel?

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R and r are radii of the bigger and small cylinders respectively.

Similarly L and l are lengths of bigger and smaller cylinders respectively.

Volume of initial cylinder  =2×(Volume of smaller cylinders)

πR²L    =2πr²L

2R³ = 2(21)³    as L = 2R

Hence,

 Diameter =42 cm

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