3.7.39 Types Tutorial Exercise 7

The relative errors must be converted to absolute errors so that ‘+/-’ notation may be used.

     1:  1.              2:  1.
         .               1:  0.2
                             .

         20 <RET> .05 *        4 <RET> .05 *

Now we simply chug through the formula.

     1:  19.7392088022    1:  394.78 +/- 19.739    1:  6316.5 +/- 706.21
         .                    .                        .

         2 P 2 ^ *            20 p 1 *                 4 p .2 <RET> 2 ^ *

It turns out the v u command will unpack an error form as well as a vector. This saves us some retyping of numbers.

     3:  6316.5 +/- 706.21     2:  6316.5 +/- 706.21
     2:  6316.5                1:  0.1118
     1:  706.21                    .
         .

         <RET> v u                   <TAB> /

Thus the volume is 6316 cubic centimeters, within about 11 percent.