please solve this problem fast with full explanations
Answers
Answer:
5.4 cm
Step-by-step explanation:
Given : Diameter of hemispherical bowl = 36 cm , So radius of hemispherical bowl, r = diameter/2 = 18 cm
And we know Volume of hemisphere = 2 π r^3/3 , So
Volume of hemispherical bowl = 2/3πr^3 = 2/3π18^3 cm^3
And ,now, the liquid is transferred into 72 bottles and 10% liquid is wasted in this transfer.
So,
volume of liquid that is transferred = 2/3π18^3 - 10/100×2/3π18^3 = 9/10×2/3π18^3 cm^4
Given diameter of each cylindrical bottle = 6 cm , So radius , R = 3 cm
And let the height of each bottle = h cm
We know volume of cylinder = πR^2 h ,
So we get
72 π R^2 h = 9/10×2/3π18^3
⇒72 × π × 32 × h = 9/10×2/3π18^3
⇒ h = 5.40 cm
So,
Height of each cylindrical bottle = 5.40 cm
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