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A frustum is a three-dimensional geometric shape that is formed by slicing the top off a cone or pyramid, resulting in two parallel bases: one larger and one smaller. The properties of a frustum include its height, the radii (or side lengths) of the two bases, and the slant height, which connects the edges of the bases. The volume of a frustum can be calculated using the formula ( V = \frac{1}{3} h (A_1 + A_2 + \sqrt{A_1 A_2}) ), where ( A_1 ) and ( A_2 ) are the areas of the two bases. Additionally, the surface area includes the areas of both bases and the lateral surface area connecting them.
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Is the cone has a greater volume than its frustum?
Yes, it must because a frustum is only a part of a cone.
How many edges does a frustum of a square pyramid have?
A frustum of a square pyramid is like a slightly distorted cuboid. It has 12 edges.
Does A cone has a greater volume than its frustum?
A cone can have a greater volume than its frustum, but it depends on the dimensions of both the cone and the frustum. The volume of a cone is calculated using the formula ( V = \frac{1}{3} \pi r^2 h ), while the volume of a frustum is given by ( V = \frac{1}{3} \pi h (R^2 + Rr + r^2) ), where ( R ) and ( r ) are the radii of the two bases of the frustum. If the frustum is formed by cutting off the top of the cone, its volume will always be less than that of the original cone.
Is there have Example problem of frustum of a pyramid?
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How many edges does a frustum?
A frustum, which is a portion of a solid (typically a cone or a pyramid) that lies between two parallel planes cutting it, has a number of edges dependent on its base shape. For a frustum of a cone, there are three edges: two circular edges at the top and bottom and one curved edge connecting them. For a frustum of a pyramid, the number of edges is equal to the number of sides on the base shape plus the same number of edges connecting the top and bottom vertices. Thus, a frustum of a pyramid with an n-sided base has 3n edges.
How do you find surface area of a frustum?
i have an answer for both a frustum of a pyramid and a frustum of a cone which do you need frustum of a cone just give both of them
What three dimensional shape is a bowl with a lid?
Most likely, a frustum of a sphere.Most likely, a frustum of a sphere.Most likely, a frustum of a sphere.Most likely, a frustum of a sphere.
What is frustum of cone?
There is no frustum of a cone. There is a frustum, which is a cone with the top cut off parallel to the ground.
What is the length of a solid conical frustum?
The length of a solid conical frustum is the distance from the top to the bottom of the frustum along its central axis.
Frustum of a rectangle?
Since a frustum is a portion of a solid, three-dimensional figure, and a rectangle is a plane, two-dimensional figure, there can be no such thing as the frustum of a rectangle.
What do you call a triangular pyramid with the top cut off?
A frustum. Specifically, a frustum of a triangular pyramid -- as one could also have a frustum of a cone, square pyramid, etc.
Is a frustum a polyhedron?
Yes and it is cone that has part of its top cut off parallel to its base and it looks like a plant pot.
What has greater volume a cone or frustum?
A large cone has a greater volume than a small frustum while a small cone has a smaller volume than a large frustum
Is the cone has a greater volume than its frustum?
Yes, it must because a frustum is only a part of a cone.
Pyramid with the top point cut off would be called what?
A frustum. Specifically, a frustum of a triangular pyramid -- as one could also have a frustum of a cone, square pyramid, etc.Read more: What_do_you_call_a_triangular_pyramid_with_the_top_cut_off
How many edges does a frustum of a square pyramid have?
A frustum of a square pyramid is like a slightly distorted cuboid. It has 12 edges.
Formula of frustum of a pyramid?
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