Solution:
radius === 1/2 diameter radius === 1/2 (6 pi-1 volume)^(1/3) radius === ( -0.25000000000000005 - 0.4330127018922193 i ) (6 pi-1 volume)^(1/3) radius === ( -0.2499999999999999 + 0.43301270189221935 i ) (6 pi-1 volume)^(1/3) radius === 1/2 (4 area pi-1)^(1/2) radius === -1/2 (4 area pi-1)^(1/2) radius === 1/2 (6 density-1 mass pi-1)^(1/3) radius === ( -0.25000000000000005 - 0.4330127018922193 i ) (6 density-1 mass pi-1)^(1/3) radius === ( -0.2499999999999999 + 0.43301270189221935 i ) (6 density-1 mass pi-1)^(1/3) density === mass volume-1 density === 6 diameter-3 mass pi-1 density === 3/4 mass pi-1 radius-3 density === 6 mass (4 area pi-1)^(-3/2) pi-1 density === -6 mass (4 area pi-1)^(-3/2) pi-1 density === 3/2 area-1 diameter-1 mass mass === density volume mass === 1/6 density diameter3 pi mass === 4/3 density pi radius3 mass === 1/6 density (4 area pi-1)^(3/2) pi mass === -1/6 density (4 area pi-1)^(3/2) pi mass === 2/3 area density diameter diameter === 2 radius diameter === (6 pi-1 volume)^(1/3) diameter === ( -0.5000000000000001 - 0.8660254037844386 i ) (6 pi-1 volume)^(1/3) diameter === ( -0.4999999999999998 + 0.8660254037844387 i ) (6 pi-1 volume)^(1/3) diameter === (4 area pi-1)^(1/2) diameter === -1 (4 area pi-1)^(1/2) diameter === (6 density-1 mass pi-1)^(1/3) diameter === ( -0.5000000000000001 - 0.8660254037844386 i ) (6 density-1 mass pi-1)^(1/3) diameter === ( -0.4999999999999998 + 0.8660254037844387 i ) (6 density-1 mass pi-1)^(1/3) area === 1/4 diameter2 pi area === pi radius2 area === 1/4 pi (6 pi-1 volume)^(2/3) area === ( -0.12499999999999995475 + 0.2165063509461096933 i ) pi (6 pi-1 volume)^(2/3) area === ( -0.12500000000000007305 - 0.2165063509461095884 i ) pi (6 pi-1 volume)^(2/3) area === 1/4 (6 density-1 mass pi-1)^(2/3) pi area === ( -0.12499999999999995475 + 0.2165063509461096933 i ) (6 density-1 mass pi-1)^(2/3) pi area === ( -0.12500000000000007305 - 0.2165063509461095884 i ) (6 density-1 mass pi-1)^(2/3) pi area === 3/2 diameter-1 volume area === 3/2 density-1 diameter-1 mass volume === 1/6 diameter3 pi volume === density-1 mass volume === 4/3 pi radius3 volume === 1/6 (4 area pi-1)^(3/2) pi volume === -1/6 (4 area pi-1)^(3/2) pi volume === 2/3 area diameter pi === 6 diameter-3 volume pi === 4 area diameter-2 pi === 3/4 radius-3 volume pi === 6 density-1 diameter-3 mass pi === area radius-2
Evaluated result:
radius = 1/2 (4 area pi-1)^(1/2) = 3.241022407214287 cm radius = -1/2 (4 area pi-1)^(1/2) = -3.241022407214287 cm radius = 1/2 (6 density-1 mass pi-1)^(1/3) = 3.242931562233897 cm radius = ( -0.25000000000000005 - 0.4330127018922193 i ) (6 density-1 mass pi-1)^(1/3) = ( -1.6214657811169488243 - 2.8084611156289109243 i ) cm radius = ( -0.2499999999999999 + 0.43301270189221935 i ) (6 density-1 mass pi-1)^(1/3) = ( -1.6214657811169478514 + 2.8084611156289112486 i ) cm density = 6 mass (4 area pi-1)^(-3/2) pi-1 = 7012.377537620049669 m-3 kg density = -6 mass (4 area pi-1)^(-3/2) pi-1 = -7012.377537620049669 m-3 kg mass = 1/6 density (4 area pi-1)^(3/2) pi = 0.99823490142200051056 kg mass = -1/6 density (4 area pi-1)^(3/2) pi = -0.99823490142200051056 kg diameter = (4 area pi-1)^(1/2) = 6.482044814428574 cm diameter = -1 (4 area pi-1)^(1/2) = -6.482044814428574 cm diameter = (6 density-1 mass pi-1)^(1/3) = 6.485863124467794 cm diameter = ( -0.5000000000000001 - 0.8660254037844386 i ) (6 density-1 mass pi-1)^(1/3) = ( -3.2429315622338976486 - 5.6169222312578218485 i ) cm diameter = ( -0.4999999999999998 + 0.8660254037844387 i ) (6 density-1 mass pi-1)^(1/3) = ( -3.2429315622338957028 + 5.6169222312578224971 i ) cm area = 1/4 (6 density-1 mass pi-1)^(2/3) pi = 0.0033038889377317506824 m2 area = ( -0.12499999999999995475 + 0.2165063509461096933 i ) (6 density-1 mass pi-1)^(2/3) pi = ( -0.0016519444688658747432 + 0.0028612517513580798757 i ) m2 area = ( -0.12500000000000007305 - 0.2165063509461095884 i ) (6 density-1 mass pi-1)^(2/3) pi = ( -0.0016519444688658763066 - 0.0028612517513580784894 i ) m2 volume = density-1 mass = 1/7000 m3 volume = 1/6 (4 area pi-1)^(3/2) pi = 0.00014260498591742864436 m3 volume = -1/6 (4 area pi-1)^(3/2) pi = -0.00014260498591742864436 m3
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Alan Eliasen, eliasen@mindspring.com
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