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
the horizontal axis is the bottom (____), the title is usually hiden in the task name
a) find the slope of the line using the given points.
Slope: 9 - -3/6-0 then slope is 12/6 which is 2
Then using formula: y = mx+b
-3 = 2(0) + b
b = -3
The equation is: y = 2x -3
B. Slope of a perpendicular is -reciprocal of first line. So here the slope will be -1/2
y = mx + b is used again
2 = -1/2(0) + b
b = 2
The equation is: y = -1/2x +2
<u>6
</u>13.20
Divide by 6
<u>1
</u>2.2
