SOLUTION: a conical funnel 12cm deep and 15cm in diameter is full of liquid.it is emptied into a cylindrical tin 10cm in diameter.find the height of the liquid in the tin

Algebra ->  Circles -> SOLUTION: a conical funnel 12cm deep and 15cm in diameter is full of liquid.it is emptied into a cylindrical tin 10cm in diameter.find the height of the liquid in the tin      Log On


   

Question 971865: a conical funnel 12cm deep and 15cm in diameter is full of liquid.it is emptied into a cylindrical tin 10cm in diameter.find the height of the liquid in the tin
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
r%5Bco%5D=radius of cone=7.5cm; r%5Bcy%5D=radius of cylinder=5cm
h%5Bco%5D=height of cone=12cm; h%5Bcy%5D=height of liquid in cylinder
Volume of cone=%281%2F3%29%28pi%29r%5Bco%5D%5E2h%5Bco%5D
Volume in cylinder=%28pi%29r%5Bcy%5D%5E2h%5Bcy%5D
.
Since volume of the cone = volume in the cylinder:
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%281%2F3%29%28pi%29r%5Bco%5D%5E2h%5Bco%5D=%28pi%29r%5Bcy%5D%5E2h%5Bcy%5D Divide each side by pi.
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%281%2F3%29r%5Bco%5D%5E2h%5Bco%5D=r%5Bcy%5D%5E2h%5Bcy%5D Divide each side by r%5Bcy%5D%5E2
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r%5Bco%5D%5E2h%5Bco%5D%2F%283r%5Bcy%5D%5E2%29=h%5Bcy%5D Put in values.
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%28%287.5cm%29%5E2%2812cm%29%29%2F%283%28%285cm%29%5E2%29%29=h%5Bcy%5D
.
675cm%5E3%2F75cm%5E2=h%5Bcy%5D
.
9cm=h%5Bcy%5D
ANSWER: The height of the liquid in the cylinder would be 9 centimeters.