Answer:
Simplify the expression.
Exact Form:
2560/3
Decimal Form:
853.¯3
Mixed Number Form:
853 1/3
Step-by-step explanation:
Solution -
The sphere is centered in the cube, so diameter of the sphere is equal to the side of the cube. Hence ,the radius of the sphere is half of the length of the side.
If the length of side of the cibe = a , then radius of the sphere is 
Volume of the cube = a³, volume of the sphere = 
π(radius)³ = π()³
volume of the cube outside the sphere = volume of the cube - volume of the sphere
= 
π()³
= 
=a³(1 - 
)
Make it 49800/50000 and 50200/50000 and then compare.
The first step for solving this expression is to know that since both of the expression are equal to y,, we must set them each to each other to form an equation in x. This will look like the following:
-3x + 7 = -3x - 6
Now cancel equal terms on both sides of the equation.
7 = -6
This tells us that the statement is false for any value of x and y,, so our answer is (x,y) ∈ ∅,, or no solution (option D).
Let me know if you have any further questions.
:)
Answer: 12.5 CC
Step-by-step explanation:
V=1/3Bh where B is the area of the base and h is the height
The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225
V=1/3(4.6225)(8.1)=12.5cc
