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The volume of the pyramid and cone is one third the volume of the corresponding (ie same [size] base and height) prism and cylinder.

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Who calculate the volumes of pyramid and cones?

democritus calculated the volume of pyramids and cones


A cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder V1 is not taken up by the c?

To find the volume of the cylinder ( V_1 ) that is not occupied by the cone, we first need to calculate the volumes of both the cone and the cylinder. The volume of the cone is given by ( V_{\text{cone}} = \frac{1}{3} \pi r^2 h ), while the volume of the cylinder is ( V_{\text{cylinder}} = \pi r^2 H ), where ( h ) is the height of the cone, ( H ) is the height of the cylinder, and ( r ) is the radius of the base. The volume of the space not occupied by the cone in the cylinder is then ( V_1 = V_{\text{cylinder}} - V_{\text{cone}} = \pi r^2 H - \frac{1}{3} \pi r^2 h ). Since the cone and the pyramid have the same volume, this relationship helps in understanding their dimensions but does not directly impact the volume calculation for the cylinder.


When you find the volume of a cylinder what is the exponent you use?

Volumes are cubic measures. Use a 3.


What is the simalarity ratio of a pyramid with a volume of 343m to a pyramid with a volume of 1331m?

A meter is a measure of distance and cannot be a measure of volume. Therefore the question is incorrect in stating that the the numbers refer to volumes rather than lengths of edges, or it is incorrect in the units used for the volumes. Either of these errors make it impossible to answer the question in a sensible way.


How is the volume of a cone and a cylinder related?

The volume of a cone is 1/3 of the volume of a cylinder with the same radius and height

Related Questions

How are the volumes of cones and pyramids related to the volumes of prisms and cylinders?

A cone is 1/3 of the volume of a cylinder with the same base and height. A pyramid is 1/3 of the volume of a prism with the same base and height.


Who calculate the volumes of pyramid and cones?

democritus calculated the volume of pyramids and cones


How is the relationship between formula of volume of a cone and formula of volume of a cylinder related to the relationship between the formula of volume of a pyramid and formula of volume of a prism?

The relationship between the formulas is that in all the radius is cubed.


What type of cylinder is used to measure volume?

you would use a graduated cylinder to measure volumes of liquids


When you find the volume of a cylinder what is the exponent you use?

Volumes are cubic measures. Use a 3.


A graduated cylinder measures the?

A graduated cylinder measures the volume of liquids in milliliters or cubic centimeters. It is commonly used in laboratories for accurate measurement of liquid volumes.


What is the simalarity ratio of a pyramid with a volume of 343m to a pyramid with a volume of 1331m?

A meter is a measure of distance and cannot be a measure of volume. Therefore the question is incorrect in stating that the the numbers refer to volumes rather than lengths of edges, or it is incorrect in the units used for the volumes. Either of these errors make it impossible to answer the question in a sensible way.


How is the volume of a cone and a cylinder related?

The volume of a cone is 1/3 of the volume of a cylinder with the same radius and height


How is the volume of a cone related to the volume of the cylinder with the same radius and height?

The cone has 1/3 of the volume of the cylinder.


What tool used for measuring precise volumes of liquids?

A graduated cylinder is used measuring precise volume of liquids.A graduated cylinder is used measuring precise volume of liquids.


What property does a graduated cylinder measure?

A graduated cylinder measures volume of liquids or other substances in milliliters or liters.


Show that the volume of cylinder is equal to one third the volume of cone?

It isn't. If the cylinder and the cone have the same height and radius, the cylinder has a larger volume (twice as large). If they do not have the same height and radius you need more information to prove their relative volumes.