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This can be done easiest with integrals. Divide the cone into cylinders of very small height, and add up the volume of all the cylinders. Writing that as an integral will immediately give you the volume of the cone. For example, and for the simplifying case that the height is equal to the radius (r), you get the integral from x = 0 to r, of pi*x2. This integral is [(1/3)x3] with an upper limit of r and a lower limit of 0, or simply (1/3)r3.
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Why is .33 in the formula of volume for a cone?
It is 1/3, not 0.33 which is an approximation. The derivation of this formula requires knowledge of integration. For basic mathematical details follow the link below.
What are the derivation of volume of solid figures?
area
The volume of a cone compared to the volume of a cylinder?
If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.
How is the volume of a cone changed if the the radius is doubled?
the is more volume in the cone
How do you get the volume of a cone when the volume of the cylinder is given?
multiply the volume of the cylinder by 1/3. whatever you get is the volume of the cone
What is the formula of area of cone?
The volume of a cone is one third the volume of a cylinder of the same height. The volume of a cylinder is πr2h, so the volume of a cone is 1/3πr2h.
Why are cereal boxes are not shaped like a cone?
Cause the volume a box is wider than the volume of a cone and when we use shaped cone the cereal wont fit in
How do you apply volume to a cone?
Cone volume = ( pi * radius2 * height ) / 3
What is the derivation of the total surface area of a cone?
IIr( l + r ) where II is 22/7
What is the volume formula of cone's?
Volume of a cone = 1/3*base area*height
How do you caliculate volume of cone?
Volume of a cone = 1/3*pi*radius2*height
How is the volume of a cone constructed?
Volume of a cone = 1/3*base area*height
