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Volume of cylinder = PI r^2 h

where r = radius and h= height

Volume of Cone = (1/3) PI r^2 h

where r=radius and h= height

Therefore, the volume of a cone is one-third of the volume of a cylinder.

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Q: Just tell you the proof that volume of cone is equal to three times the volume of cylinder?
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How do you prove that a cone will fit into a cylinder exactlly 3 times?

If you look at the formulas for volume of a cone and volume of a cylinder you can see that a cone will fit in exactly three times if the height and radius of the cone and cylinder are equivalent. A cone has the equation: (1/3)*pi*(r^2)*h=Volume. And a cylinder has the equation: pi*(r^2)*h=Volume. With h equaling height and r equaling radius, you can see that 3*(Volume of a cone)=Volume of a cylinder. Therefore, the cone would fit in three times if height and radius are equivalent for the two figures.


What equation will you use to get the area of a cylinder?

A cylinder does not have area, since it is a three dimensional object. Instead, it is usually described as having volume,


What is the volume of a cylinder that's 6ft radius and 8ft tall?

Volume: pi*62*8 = 1608.495 cubic feet to three decimal places


If the volume of a cylinder is 48 centimeters cubed what is the radius?

volume = pi * radius2 * heightThere are three unknowns in this equation, V, r, and h, and you only know v. You need to provide additional information (such as the height of the cylinder or some ratio of height to width) in order to solve


What three things measure volume?

The question is a bit ambiguous or is incomplete. However, if you want to know how to calculate volume in a cube or cuboid you multiply the length by the width and then by the height. Volume of a cylinder is calculated by multiplying Pi (3.14) by the radius squared and then by the height.On the other hand, if you simply want to know three things that are used to measure volume, examples are 1/ a measuring cup used in baking, 2/ a graduated cylinder used in the chem lab and 3/ the gas pumps used to fill your car.

Related questions

Is the volume of the cylinder three times the volume of the cone?

Cubed


A cylinder has base radius x cm and heigh 2x cm A cone has base radius x cm and height h cm The Volume of the cylinder and the volume of the cone are equal. Find h in terms of x. Simplest Form.?

3x i think because the volume of a cone is one third of a cylinder of the same height and radius so if the volume is equal the height must be three times higher


How much less or more is the volume of a cylinder in comparison to that of a cone with same height and radius of the base?

The volume of a cylinder is three times as much.


If the radius of a tennis ball is 3.5 cm what percentage of the tennis ball can is occupied by air?

How many balls are in one can? Three? If so, then calculate the volume of one ball and multiply by three. That's the volume occupied by the balls. The volume of a sphere is given by the formula V = 4(Pi)r3/3. Now calculate the volume of the cylinder. Assume that its height is three times the diameter of a ball (if there are three balls in the can). Remember that the diameter is twice the radius. Also, assume that the radius of the can is equal to the radius of one ball. The volume of a cylinder is given by the formula V = (Pi)r2h. Now subtract the volume of the balls from the volume of the can.


What is the volume of a cylinder that has a radius of 4 centimeters and a height of 40 centimeters?

Volume of cylinder: pi*16*40 = 2010.619 cubic cm to three decimal places


How do you prove that a cone will fit into a cylinder exactlly 3 times?

If you look at the formulas for volume of a cone and volume of a cylinder you can see that a cone will fit in exactly three times if the height and radius of the cone and cylinder are equivalent. A cone has the equation: (1/3)*pi*(r^2)*h=Volume. And a cylinder has the equation: pi*(r^2)*h=Volume. With h equaling height and r equaling radius, you can see that 3*(Volume of a cone)=Volume of a cylinder. Therefore, the cone would fit in three times if height and radius are equivalent for the two figures.


Describe how a graduated cylinder could be used to measure the volume of a rock with an irrregular shape the process must include at least three steps?

Step 1 . calculate the volume of the cylinder step 2 . put the rock in the cylinder and fill it with water to the top step 3. measure the amount of water step 4 subtract the volume of the water from the volume of the cylinder, and you have the volume of the rock.


What equation will you use to get the area of a cylinder?

A cylinder does not have area, since it is a three dimensional object. Instead, it is usually described as having volume,


What is the volume of a cylinder 3 x 8?

A cylinder is a three dimensional object, it's impossible to determine with just two dimensions of measurement.


Given three cylinders containing O2 gasat the same volume and pressure cylinder a is a -20 cylinder b is at -15 f cylinder c is at 260 k which cylinder contains the largest mass of oxygen?

Cylinder A


What is the volume of a cylinder that's 6ft radius and 8ft tall?

Volume: pi*62*8 = 1608.495 cubic feet to three decimal places


Is a cylinder a geometric shape?

Yes, a cylinder is a geometric shape.It is related to the circle. A circle has two dimensions, but the cylinder is three-dimensional, having height as well.The volume of a cylinder, for example, is the area of the circle multiplied by the height.