Hello there!
the answer is 8.33
Hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
![x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%2Fx%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2%7D)
Step-by-step explanation:
Given

Required
Rewrite in simplest radical form
Using laws of indices:

This implies that

Solve Exponents


Simplify exponent to lowest fraction

Using laws of indices:
![a^{\frac{m}{n}} = \sqrt[n]{a^m}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D)
This implies that
![x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%2Fx%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2%7D)
This is as far as the expression can be simplified
3.10/155= 0.02 } subtract = 0.07 more
7.65/85= 0.09 }
Formula for volume of cylinder is area of base time height
area of base equal pir^2 =3,14*(2,5)^2 = 3,14 *6,25 = 19,625 inches squared
V=area time height
170 = 19,625 *h
h = 170/19,625 = 8,662 inches