Given curves:

The region is rotated about the line 
Shell method formula : 
Since the region is rotated about the line y= 8, we solve the given curve for x.
Take cube root on both sides.
The radius of the given region is
and the height is
.
The integral to find the volume is : ![\int_{8}^{16}2\pi (y-8)(4\sqrt[3]{y})dy](https://tex.z-dn.net/?f=%5Cint_%7B8%7D%5E%7B16%7D2%5Cpi%20%28y-8%29%284%5Csqrt%5B3%5D%7By%7D%29dy)
Answer:

Step-by-step explanation:
Given


Required
Determine the road grade
This is calculated as:


--- approximated
Answer:
he has 15.06 (15) miles left
Step-by-step explanation:
he still has 5/8 distance left so its just 5/8th of 24.1
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.
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