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
Answer:
Step-by-step explanation:
Okay, to do this we must understand what parallel means.
parallel means that that one line will NEVER touch the other. In order for this to happen they must be increasing (or decreasing) by the SAME rate. I.e the slope of your line must be the same as the lin in question thus our equation looks like,
.
Now lets find 
.
To do this, plug the point (3,6) into the equation
6=4(3)+C
6=12+C
-6=C
Thus now that we know C, our equaiton is
If 2 gallons of oil are used a day, than he will need 60 gallons of oil, because 30x2=60. For 60 gallons of oil, you would have to have 12 drums because 60÷5=12. Because there is already 8 drums of oil, there would already be 40 gallons because 8x5=40. If the owner already had 40 gallons of oil, they would only have to get 20 more gallons because 60-40=20. That would be 4 drums because 20÷5=4. The owner would have to order 4 more drums of oil.
Answer:
x = 4
Step-by-step explanation:
(8)(7) = 14x
14x = 56
x = 4
Answer:
- 4
Step-by-step explanation:
(2*(Rationalize(9.7)-Rationalize(4.8x)))==Rationalize(61.2)-Rationalize(3.4)
Rationalize(18.4)-Rationalize(2.8x)
==Rationalize(57.8)
-Rationalize(2.8x)==Rationalize(57.8)-Rationalize(18.4)
x= 38.4÷-2.8
:x= -4
