Answer:
64π inches² (approximately 201.06 inches²)
Step-by-step explanation:
where
is the radius
To find the radius, divide the diameter by 2
16 ÷ 2 = 8 inches
Plug in 8 as the radius

(approximately)
Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².
I hope this helps!
Answer:

Step-by-step explanation:
The volume of the solid revolution is expressed as;

Given y = 2x²
y² = (2x²)²
y² = 4x⁴
Substitute into the formula
![V = \int\limits^2_0 {4\pi x^4} \, dx\\V =4\pi \int\limits^2_0 { x^4} \, dx\\V = 4 \pi [\frac{x^5}{5} ]\\](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E2_0%20%7B4%5Cpi%20x%5E4%7D%20%5C%2C%20dx%5C%5CV%20%3D4%5Cpi%20%5Cint%5Climits%5E2_0%20%7B%20x%5E4%7D%20%5C%2C%20dx%5C%5CV%20%3D%204%20%5Cpi%20%5B%5Cfrac%7Bx%5E5%7D%7B5%7D%20%5D%5C%5C)
Substituting the limits
![V = 4 \pi ([\frac{2^5}{5}] - [\frac{0^5}{5}])\\V = 4 \pi ([\frac{32}{5}] - 0)\\V = 128 \pi/5 units^3](https://tex.z-dn.net/?f=V%20%3D%204%20%5Cpi%20%28%5B%5Cfrac%7B2%5E5%7D%7B5%7D%5D%20-%20%5B%5Cfrac%7B0%5E5%7D%7B5%7D%5D%29%5C%5CV%20%3D%204%20%5Cpi%20%28%5B%5Cfrac%7B32%7D%7B5%7D%5D%20-%200%29%5C%5CV%20%3D%20128%20%5Cpi%2F5%20units%5E3)
Hence the volume of the solid is 
This is a problem of fundamental counting principle. In a
sequence of events, the total possible number of ways all events can performed
is the product of the possible number of ways each individual event can be
performed. So here there is one car in each place so there 4 possible
cars to get the 1st place, 3 possible car for the 2nd
place, 2 possible cars for 3rd place and 1 for the 4th
place. The 4x3x2x1 = 24 different order
<h3>
Answer: -2/3</h3>
==========================================
Work Shown:
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (-3 - 5)/(5 - (-7))
m = (-3 - 5)/(5 + 7)
m = (-8)/(12)
m = -2/3