Two cones are similar. the volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³. the height of the smaller cone is 2 cm.

3 cm

Step-by-step explanation:

The ratio of the smaller volume to the larger volume is 8:27  

But that's the same as 2^3:3^3  

So the one-dimensional measurements (e.g. height) are in the ratio of 2:3.  

Since the smaller cone has a height of 2 cm, the larger cone will have a height of 3 cm.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

i believe it is 0.1m because the measurement of 30.4m limits how precise you can be

you can only be as precise as the least precise measurement