The formula for the volume of a cylinder with a height of 5 units is mc026-1.jpgwhere r is the radius of the cylinder. In which quadrant(s) is the graph of this function V(r)?

The formula is V = Pi * R^2 * H where

R: radius
H: height
V: volume

So you need the radius and height in feet, and plug them into this formula. Or you can enter what you know, in feet, to this calculator, and it will give the unknown

http://www.onlineconversion.com/object_volume_cylinder_tank.htm
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Here is the formula for the volume of a cone. Use it to calculate the volume yourself.
Volume of cone =(1/3)(area of base)*(height)
If the cone is a right circular one
Volume =(1/3)(PI *radius^2)*(height)=(1/3)*Pi*[(3.5)^2]*18.5
assuming that the radius and the height are expressed in the same units. The result (after you calculate it) will be in cubic units.

Volume of a right circular cylinder of radius r and height h is
V=PI*(r^2)*h
Figure out which is the radius and which is the height, then plug in the formula above. Result is in cm^3

Since the radius and height are positive quantities, the volume will also be positive. First quadrant of the (r, V) plane.

volume is calculated by finding the area multiplied by the length or height . That is Pi X radius squared X length
example --tube 6"dia 12"long what is the volume?
Example 3.1417 X radius 3" Squared =3.1417X9sq " = 28.2740sq" X length 12" =338.688 cubic"
If you want the volume of an engine cylinder , it is the same formula and the length is the stroke of the piston ( distance from TDC to BDC )

V = (pi)(r square)(h) V= Volume (the amount we need to calculate)
pi = 3.14...
r = radius of cylinder (remember this is half that of the circumference)
h = height of cylinder

To make it easier for you below are the figures for the Cylinder.
Radius= 11.5 inches
Height = 17 inches.
Now use the formula above to calculate it.

For the Jelly Bean its,
Radius = 0.25 inches
Height = 0.5
Use the same formula above for jelly bean as well.


Once you have both figures, divide Volume of Jar by Volume of Jelly e.g. VolumeofJar/VolumeofJelly

AND VOILA, you have the amount of jelly beans in a jar (Round the figure out)

Cheers!

The formula to find the volume of right prisms and right cylinders is
Volume=(area of base)*height
If the cylinder has a circular base, then the area of the base is PI*R^2
and the volume is Pi*(R^2)*H.
Here R is measure of the Radius, and H is the measure of the Height. R and H must be expressed in the same unit.

You need a cone with a volume of 150 gallons.
The volume of a right circular cone is given by the formula
V_cone=(Area of base *height)/3
Since cone is circular , its base is a disk with a certain radius r. The formula becomes PI*(r^2)*h/3
As you see there are two variables, the radius and the height. There is an infinite number of combinations (radius, height) that will give you a total volume of 150 gallons. You can choose the radius (r) and solve for h, or you can choose the height then solve for the radius.
I suggest you convert gallons to cubic feet or to cubic meters then put
V=Pi*(r^2)*h/3 where V is the value of volume after conversion.
If you choose the radius, then to isolate h, h=(3*V)/(Pi*r^2)
If you choose the height, then to solve for r
r^2=(3V)/(Pi*h)
and r=square root of (3V/(Pi*h))
Now, it is your turn to carry out the rest of the calculation.
It will consist of the value of the radius, and the value of the height.
If the cone is not right circular, the situation becomes more complicated.

When you have to deal with problems of this sort, you usually are given recipes or mathematical formulas which you apply to find the result. It so happens that for the volumes of cylinders, the formula to use is
Volume = Area of the base times the height=Ab*h
If the cylinder is circular, then the area of the base is that of a disk, Ab=PI*r^2`where r is the radius.
In your case, you are given the diameter (twice the radius) and the height.
Volume =PI*h*(6.2/2)^2, the unit being cm^2

To type in the value of PI, press [2nd] [^] (the latter is key under CLEAR, and above the division sign.
To raise a number to power 2 (to square it), use the key marked x with a superscript 2, or x with a raised 2.
After you have typed in all necessary ingredients in the formula, press the [ENTER] key and the calculator will give you the result.

Now, it is your turn to do some mathematics.

The formula for volume of a cylinder is
so, the volume of your stated beaker is 1178.097225 cubic centimeters.