Post B9Ynczf813NKYfy448 by Zergling_man@sacred.harpy.faith
 (DIR) More posts by Zergling_man@sacred.harpy.faith
 (DIR) Post #B9Ylgtdw8a8h8k8yRc by shortstories@merovingian.club
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       The coefficient of thermal expansion for volume is usually 3 times the coeficcient for expansion for lengthTo estimate the cube for a number between 1 and 1.1Step 1Subtract 1 from the numberStep 2Multiply the quantity you calculated in step 1 by 3Step 3Add 1 to the number you calculated in step 2Finished
       
 (DIR) Post #B9YljKimQsjdhUZTSS by Zergling_man@sacred.harpy.faith
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       @shortstories Funny how if three lengths increase by 1, the volume increases by 3
       
 (DIR) Post #B9YmC2AcU33SZ0HKL2 by shortstories@merovingian.club
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       @Zergling_man Only for numbers in the range that happens to be used for thermal expansion calculations for some materials near room temperature when the temperature change is small enoughI do not think it works for large numbersThe sine of theta in radians is also close to theta for angles smaller than a certain angle but not for angles larger than a certain angle
       
 (DIR) Post #B9YmMh9OyTpqYdnBi4 by Zergling_man@sacred.harpy.faith
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       @shortstories That means you're looking at a coincidence, not a relationship.Volume and length are actually related.
       
 (DIR) Post #B9YmRa7mWbZoDMMfke by shortstories@merovingian.club
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       @Zergling_man The volume is not three times the lengththe change in volume is approximately three times the change in lengthIf the change in length is less than 10% the original length
       
 (DIR) Post #B9Ynczf813NKYfy448 by Zergling_man@sacred.harpy.faith
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       @shortstories Somewhere around 1.75 the result of multiplying by three and cubing pass each other. I guess that doesn't hold when you're starting from non-zero but... ... If anything, it shrinks, and should shrink towards 0? So I don't think that's true for all lengths.
       
 (DIR) Post #B9Ynczzgmbp1aRaU76 by shortstories@merovingian.club
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       @Zergling_man If the increase in length is less than 10% and greater than 0% it approximately worksIt should not work for a decrease in length
       
 (DIR) Post #B9YpOTQdGP5gRPOKsi by shortstories@merovingian.club
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       @Zergling_man I would say that for small angles in radians the sine of theta being approximately equal to theta is because of a relationshipWhen an angle is small enoughWhere the angle measures both a section of a circle and also is an angle within a triangleWhen the largest side of a triangle is the same as the radius of the circle the perimeter of a section of a circle  having an angle of thetais close to the length of a side in a right angle triangle having an angle of theta
       
 (DIR) Post #B9YpOTkU4ayDQygBpA by Zergling_man@sacred.harpy.faith
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       @shortstories >I would say that for small angles in radians the sine of theta being approximately equal to theta is because of a relationshipDo you know what the sine function actually does?
       
 (DIR) Post #B9YpOayDDx6vpa9kh6 by Zergling_man@sacred.harpy.faith
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       @shortstories Or, better question, do you know what the cosine function does?
       
 (DIR) Post #B9YpSQn70leBQ4nFR2 by shortstories@merovingian.club
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       @Zergling_man I would not know how to use the method to calculate cubes for numbers above 4/3 because 3*4/3=2And I am looking at the digits after 1 when you cube a number above 1 written as a decimal
       
 (DIR) Post #B9YpVE7IahaWymZJQ0 by Zergling_man@sacred.harpy.faith
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       @shortstories >3*4/3=2How?