a cylindrical vessel having diameter equal to its height is full of water which is poured into two identical cylindrical vessel with diameter 42cm and height 21cm which are filled completely.find the diameter of cylindrucal vessel
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Answered by
101
Hi ,
1 ) dimensions of the large cylider
diameter = d cm
Height = h = d cm
Volume = π( d/2)² h
= π ( d ²/ 4)×d
= π d³/4 ----( 1 )
2 ) dimensions of the smaller cylider
d = 42 cm
h = 21 cm
Volume = π × ( d²/ 4 ) × h
= ( π × 42 × 42 × 21 )/4---( 2 )
According to the problem given ,
( 1 ) = 2 × ( 2 )
π d³/4 = 2 × ( π × 42 × 42 × 21 )/4
d³ = ( 2 π × 42 × 42 × 21 × 4 )/(π×4)
d³ = ( 42 )³
Therefore ,
d = 42 cm
I hope this helps you.
:)
1 ) dimensions of the large cylider
diameter = d cm
Height = h = d cm
Volume = π( d/2)² h
= π ( d ²/ 4)×d
= π d³/4 ----( 1 )
2 ) dimensions of the smaller cylider
d = 42 cm
h = 21 cm
Volume = π × ( d²/ 4 ) × h
= ( π × 42 × 42 × 21 )/4---( 2 )
According to the problem given ,
( 1 ) = 2 × ( 2 )
π d³/4 = 2 × ( π × 42 × 42 × 21 )/4
d³ = ( 2 π × 42 × 42 × 21 × 4 )/(π×4)
d³ = ( 42 )³
Therefore ,
d = 42 cm
I hope this helps you.
:)
Answered by
33
hope I will help you
OM NAMAH SHIVAAY
OM NAMAH SHIVAAY
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