Two third of a cylindrical vessel is full of water.if it is tilled in such a way the water becomes diagonal in shape. 93.5 liters of water flows out. find out the capacity of vessel.
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Answer:
Step-by-step explanation:
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
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