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
X=2
y=2
3x2+6x2=18
3x2=6
6x2=12
12+6=18
Answer:
The answer is A) y =3x + 3
Step-by-step explanation:
You substitute the gradient and y intercept into the equation of y = mx +b
Step one: multiply and divide in order.
Step two: add and subtract like terms.
Step three: get X alone on one side (what you do to one side you have To do to the other side)
Step four: simplify and solve :)
Answer:
x = -1
Step-by-step explanation:
y = 5 is a horizontal line
It's perpendicular would be a vertical line of the form:
x = a
Since it passes through (-1,-3)
a = -1
Hence line is: x = -1
