Final answer:
The variance of the weights is approximately 1.282 x 10^10 kg^2.
Step-by-step explanation:
To find the variance of the weights, we need to square the standard deviation. The standard deviation is given as 113377 kg, so we square it to get the variance. The variance is calculated as follows:
Variance = Standard Deviation squared = (113377 kg)^2 = 1.282 x 10^10 kg^2
So, the variance of the weights is approximately 1.282 x 10^10 kg^2.