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Sat 12 Jul, 2014 12:08 pm
A cylindrical tank, 3.5 feet in diameter, and 5 feet high, is filled with snow. A quart of snow produces 3/5 pint of water.
Calculate amount (gallons) of water from melting the snow and depth ( feet) of water in tank.
What is known:
Dimensions of tank
Amount of water 1 quart of snow produces.
Want to know:
Amount of water (gallons) from melting the snow.
Depth (feet) of water in tank.
Volume of cylinder - pi * r^2 * h
3.14 *1.75 * 1.75 * 5 = 48.08 = 48 cubic feet
48 * 7.48 = 359.64 = 360 gallons
360 / 4 = 90 quarts
90* .6 = 540 pints
540 * .125 = 67.5 gallons
I think I miscalculated. Also, I am not sure how to calculate depth of water in tank.
@Randy Dandy,
There are four quarts to a gallon, not four gallons to a quart and 90x.6 is 54, not 540. I do appreciate you try before posting..
@engineer,
How do I determine depth of water in tank ?
@Randy Dandy,
Gallons / 7.48 = volume in cubic feet
pi * r^2 h = volume and in this case you solve for h.
Another way to get there is to say a quart melts down to 0.6 pints = 0.3 quarts so the final volume is 0.3 the initial volume.
@engineer,
pi * r^2 * h = volume
3.14 * 1.75 * 1.75 * h = 14.44
3.14 * 3.06 * h = 14.44
9.61 h = 14.44
9.61h/9.61 = 14.44/9.61
h = 1.50 feet
360 * .3 = 108
??
@Randy Dandy,
1.5 ft is correct which equals the original 5 feet times 0.3.
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