SOLUTION: If I have a cone-shaped cup with height of 10 inches and radius of 4 inches and pour in 1803 grams of water, what is the height of the water in the cup?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: If I have a cone-shaped cup with height of 10 inches and radius of 4 inches and pour in 1803 grams of water, what is the height of the water in the cup?      Log On


   



Question 1021672: If I have a cone-shaped cup with height of 10 inches and radius of 4 inches and pour in 1803 grams of water, what is the height of the water in the cup?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Same problem, except 1803 grams = 1803 cc.
Convert to cubic inches first.
===================================
A block of ice 8 in. and 5 in. by 3 in. is to be melted in an open conical pot 10 in deep and with radius 4 in. Find the depth of the water when the ice is completely melted in the pot.
-----------
Volume = 8*5*3 = 120 cubic inches
---
Vol of cone = pi%2Ar%5E2%2Ah%2F3+=+120
r/4 = h/10 --> r = 2h/5
pi%2A4%5E2%2Ah%2F3 --> pi%2A%282h%2F5%29%5E2%2Ah%2F3+=+120
pi%2A4h%5E3%2F75+=+120
h%5E3+=+9000%2F%284pi%29
h =~ 8.947 inches (if the point of the cone is at the bottom)