The problem is asking for the height of the fluid using the following information:
Volume of fluid
=
V
=
36
π
cm
3
Radius of new cylinder
=
r
=
3
cm
To start the solution, solve for the height
h
in the formula for the volume of a cylinder:
V
=
π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h
=
V
π
r
2
V =π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h =
V
π
r
2
Substituting the values of the volume and the radius, the height of the fluid is:
h
=
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=
4
π
cm
=
12.5663706144
≈
12.6
cm
h =
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=4π cm =12.5663706144≈12.6 cm
Thus, the fluid reaches up to
12.6
cm
12.6
cm
in the new cylinder.
It can't be simplified, because
0.999999999... indeed can be 1.
Same as 0.33333... is equal to 1/3. Though you can see it's a fraction.
Same thing is basically with 0.99999... to 1. It's just the fact that the 1 is a whole number but the 0.9999... looks messy.
The terms of the associated sequence 0.9, 0.99, 0.999,..., do "get arbitrarily close" to 1, in the sense that, for each term in the progression, the difference between the term and 1 gets smaller and smaller.
The number 0.999... (with the ellipse) means that it goes on forever, there is no stop to it meaning that it basically is, and has been proven, that it is 1.
Hope this helps :)
44+44= 88 360-88= 272 272/2= 136
136 is your answer. you can also see that 44 degrees is on a straight line so you can do 180 ( because a straight line is 180 degrees) minus 44 which also gives you 136
Answer:
Cubic meters or m³
Step-by-step explanation:
The meter is the standard unit in the metric system. When we are calculating the volume, we usually take the 3 measures (length, width and height) in meters.
Therefore, once that we calculate the volume using this unit (meters) we obtain the result in cubic meters which is the standard unit of volume in the metric system.
