Answer:
0.6157
Step-by-step explanation:
The volume
of a cone with base radius
and height
is

Similarly, the volume
of a sphere with radius
is

We know that
and that 
So, we can set up the following equation:

We can simplify the common denominator 3, and pi appearing on both sides:

We can divide both sides by 4:

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
The graph is shown in figure below
The Solution Set is (-2,-3)
Step-by-step explanation:
We need to graph the equations and writ the solution.
For graphing we need to find the values of x and y.
For that, we need to solve the given equations:

Let:

We can solve this by using Substitution Method.
Putting value of y of eq(1) into eq(2) and finding value of x:

So, value of x = -2
Now put value of x in eq(1) to find value of y:

So, value of y = -3
Plotting on graph: x=-2 and y = -3
The graph is shown in figure below
The Solution Set is (-2,-3)
Keywords: graph the equations
Learn more about Graphing Equations at:
#learnwithBrainly
To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.