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 
Answer:
When you divide fractions, you multiply by the reciprocal, So, you would have 9/5 * 15/14 you can cancel, and get 9/1 * 3/14, and end up with 27/14,
Answer:
The equation has an Inifinite amount of solutions
Step-by-step explanation:
2 ( 3g + 2 ) = 1/2 ( 12g + 8 )
First use the distributive property of multiplication -
6g + 4 = 6g + 4
6g cancels out from both sides of the equation -
4 = 4
When both sides of an equation are the same there is an infinite amount of solutions.
Hope this helped! :)
Answer:

Step-by-step explanation:
The equation of a circle:

(h, k) - center
r - radius
We have the center (4, -3) and the point on the circle (9, -3).
The length of radius is equal to the distance between a center and an any point on a circle.
The formula of a distance between two points:

Susbtitute:

The center (3, 7) → h = 3, k = 7.
Finally we have:

Answer:

Step-by-step explanation:
To determine the area of the land, we first determine the length of the base.
Since it is a isosceles trapezoid,
Length of the base =(228+2x)ft where x is the base of the triangle.
In the Right Triangle,
Perpendicular Height =209 ft
Hypotenuse =221.38 ft
Using <u>Pythagoras Theorem:</u>

Therefore, the length of the isosceles' trapezoid base
=228+2(72.99)=373.98ft
Area of a trapezoid

a=228ft, b=373.98ft, h=209ft
