The formula for the volume of a sphere is V=(4/3) (pi) r^3. if r is doubled then you get 2r as the radius and V=(4/3) (pi) * 8r^3 so the volume is eight times bigger than the original r value. if r is tripled the r =3r and (3r)^3 so the volume is 27 times bigger. If r is multiplied by n the radius is nr and (nr)^3 =n^3 r^3, Therefore, the volume is n^3 times bigger than the original.
Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is 
.
To find your radius (r), divide the diameter of 8 inches by 2. <em>The radius is 4 inches.</em>
Plug in your numbers to the volume equation to get 
. The first step is to cube 4 (4*4*4) to get <em>64</em>. Now your equation is 
.
Multiply 3.14 and 64 to get <em>200.96</em>. The equation is now 
or 
.
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of 
.
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.
To find if a point is a solution to a system of equations, we need to plug in the x and y values of the point into each equation, and see if the equation is true.
Let's plug it into the first equation first:
-2(3) - 4(-2) might = 2
-6 + 8 = 2
The first equation is true.
Now, we need to check the second equation:
3(3) + 4(-2) might =8
9 - 8 does not = 8
Therefore, even if the point satisfies one equation, it does not satisfy the other. We can conclude that this is not a solution.
Hope this helps!
Hello :
(x+3)² -2² = 0
by identite : a²-b² =(a-b)(a+b)
(x+3-2)(x+3+2)= 0
(x+1)(x+5)=0
x+1=0 or x+5=0
x=-1 or x=-5
<span>the largest solution is : - 1</span>
Answer:
x = 7deg
Step-by-step explanation:
7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)
22x = 154
x = 7deg
This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
