Answer:
V = 137.2
Step-by-step explanation:
We are given the volume equation. Simply plug in your <em>r</em> into the equation and calculate and you should get 137.189 as your answer.
Answer:
Step-by-step explanation:
![\sqrt[3]{125y^9z^6}\\ \\ \sqrt[3]{5^3(y^3)^3(z^2)^3}\\ \\ 5y^3z^2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125y%5E9z%5E6%7D%5C%5C%20%5C%5C%20%5Csqrt%5B3%5D%7B5%5E3%28y%5E3%29%5E3%28z%5E2%29%5E3%7D%5C%5C%20%5C%5C%205y%5E3z%5E2)
Answer:
Step-by-step explanation:
1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula 
and substitute the x and y values of those points into it, then simplify:
So, the slope is 
.
2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.
3) Substitute values for 
and 
in the slope-intercept formula, 
, to write the equation of the line. Since represents the slope, substitute for it. Since represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:
Area of shaded part = area of circle - area of the square
= pi (6)^2 - area of the square.
Area of square = (m of one side) ^2
measure of of side is found as follows:-
6^2 = 2s^2 where m of the side = 2s
s = sqrt 18 so side of square = 2 sqrt18
area of square = (2 sqrt18)^2 = 4*18 = 72
area of shaded region = 36pi - 72 = 41.1 sq units to neraest tenth
