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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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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


How do you proof the volume of a cuboid?

To prove the volume of a cuboid, consider its dimensions: length (l), width (w), and height (h). The volume is calculated by multiplying these dimensions together: ( V = l \times w \times h ). This formula can be understood by visualizing the cuboid as made up of unit cubes; the total number of unit cubes that fit into the cuboid is equal to the product of its dimensions. Thus, the volume represents the total space occupied by the cuboid in three-dimensional space.

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.


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


What two items are best to use to determine the combined volume of three small rocks?

You can use a graduated cylinder or a measuring cup filled with water to determine the combined volume of three small rocks. Simply measure the initial water level, then add the rocks and measure the new water level for the volume displaced, which represents the combined volume of the rocks.


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.