The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
<h3><u>Cube</u></h3>
The volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
<h3><u>Sphere</u></h3>
The volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
<h3><u>Space</u></h3>
Then the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
From the problem :
In multiplying expressions with the same bases, the exponent will be added accordingly.
For example :
the exponent of a are m and n, and the product will be a raised to the sum of m and n.
Applying this to the problem, we have :
The answer is d. 6^-1
Answer:
m=(r/n)+0.114r
Step-by-step explanation:
m=monthly payment
r=remaining amount
n=# of months remaining
x^3 - 3x^2 - 18x
Using the FOIL method, I arrived at my solution!
Answer: Option (2)
Step-by-step explanation:
The inverse of a function swaps the domain and range.
