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Both cones and spheres are three-dimensional geometric shapes that can be defined in terms of their radius. They both possess a continuous curved surface, with the sphere being perfectly round and the cone having a circular base that tapers to a single vertex. Additionally, both shapes can be described using similar mathematical formulas for volume and surface area, although the specific calculations differ due to their distinct structures.
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That the height of the cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm?
The height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is not 16 cm; it is actually 16 cm when considering the relationship between the cone's dimensions and the sphere's radius. The cone's volume is maximized when its height is two-thirds of the sphere's radius, which means the optimal height is ( \frac{2}{3} \times 12 \text{ cm} = 8 \text{ cm} ). Thus, the statement is incorrect; the correct height for maximum volume is 8 cm, not 16 cm.
What are some similarities between volcanic and uplifted mountains?
a volcanic mountain is a cone shaped mountain formed when molten rocks erupts from a hole in the earths crust.
Similarities between the ulna and the radius?
what is the similarities between the ulna and the radius
What is the similarities between for and while statement?
similarities
What are the bone similarities between a human and a kangaroo?
similarities between kangaroo and human
What is the similarities between a cone a cylinder and a sphere?
They are all 3D geometric shapes.
Difference between a sphere and a cone?
A sphere to a cone is the same as a circle is to a triangle but they are both 3 dimensional.
What is the difference between a cone sphere and a cylinder?
sphere has 1 face and no vertex and it rolls but cone has 2 faces and it can roll and it has 1 vertex
What is relationship between cone and sphere?
Actually seeing the relationship between the volumes of a cone (one-third of a cylinder) and a sphere (two-thirds of a cylinder) is hard to beat. The cylinder is 1/3 the volume of the cone
What is the relation between sphere and cone?
The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.
What are some similarities between Earth and Jupiter?
both a sphere
Is a cone quadrilateral?
No, it is not.
Which has a smaller surface area - cone or sphere?
cone
Does a cone a cylinder and a sphere have any vertices?
The cone has one. Neither the cylinder nor the sphere has any.
What shapes have no vertices cube pyramid cone or sphere?
Sphere
Name a real-life example of a cone and a sphere?
A cone could be a party hat && a sphere couldd be a bowling ball.
Is a cone a sphere?
No a sphere is a solid with no vortexes, faces, or edges while a cone has two faces, one vortex, and one edge.
