Question

The $(\frac{3}{4})^{th}$ part of a conical vessel of internal radius 5 cm and height 24 cm is full of water . the water is emptied into a cylindrical vessel with internal radius 10 cm. find the height of water in cylindrical vessel

Answer 1

Answer:

Height of water in cylindrical vessel is 1.5 cm .

Step-by-step explanation:

Given :  

Internal radius of a conical vessel , r = 5 cm  

Height of the conical vessel , h = 24 cm

Internal radius of the cylindrical vessel , R = 10 cm  

Let the height of water in cylindrical vessel be H cm .

Volume of water = ¾ ×  volume of conical vessel  

= ¾ × ⅓×π r²h

= πr²h/4  

= (π(5)²×24)/4 = (25 × 6)π = 150 π cm³

Volume of water = 150 π cm³

Water from a conical flask is emptied into a cylindrical vessel.

Volume of cylindrical vessel =  volume of water

πR²H = 150 π  

R²H = 150

10² × H = 150

100 H = 150

H = 150/100 = 1.5 cm

Hence, height of water in cylindrical vessel is 1.5 cm .

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Answer 2

Hello:)

The answer:1.5 cm

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