Weight of a WhaleDate: 05/24/99 at 13:19:13 From: Aaron G. Diggens Subject: How to find the weight of a whale Hi, My kids and I would like to know the formula to find the weight of a whale. A regular person like myself can't afford to buy a scale or the crane to lift such a beast, so how do we figure out how much it really weighs through mathematics? Any help you could give us would be greatly appreciated. Thanks. Date: 05/24/99 at 17:45:52 From: Doctor Rick Subject: Re: How to find the weight of a whale Hi, Aaron. Since a whale can float or dive, its density must be close to that of water. Therefore all you have to do is estimate the volume of the whale, and multiply the volume by the density of water. In the metric system, this is easy, since 1 cm^3 of water weighs 1 gram. There are 1,000,000 cm^3 in 1 m^3, so 1 cubic meter of water weighs 1,000,000 grams, or 1000 kg, or 1 metric ton. To estimate the volume of the whale, you could approximate it by a cylinder. Find the length and the diameter of the whale. Perhaps you can mathematically cut off part of the tail, since it has a smaller diameter than the body of the whale. In other words, imagine canning the whale and try to estimate the size of the can that would fit it. Then use the formula for the volume of a cylinder: 2 2 V = pi R L = pi D L / 4 where L is the length of the cylinder and R is the radius, or D is the diameter. This will give you a rough estimate. If you want to be more accurate, the only suggestion I could make is to fill your bathtub to the brim, place the whale gently in the bathtub, and measure the volume of water that spills on the floor (and out the door and down the stairs). I know this could cause some difficulties, so you might choose to rent a tank at a local aquarium and measure how much the water level rises when you drop the whale in. Can you figure out how to measure the volume from the water-level rise? Have fun and take good care of that whale. Remember, I only suggested that you MATHEMATICALLY cut off its tail or can it. - Doctor Rick, The Math Forum http://mathforum.org/dr.math/ |
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