Table of Contents
How do you find the volume of a right circular cone?
Volume of a right circular cone = 1/3π r2 h.
What is the circular cone of maximum volume inscribed in a sphere of a radius A?
Find the circular cone of maximum volume inscribed in a sphere of radius a. The sphere is given, thus radius a is constant….More Reviewers.
| Algebra | Structural Analysis |
|---|---|
| Spherical Trigonometry | Strength of Materials |
| Solid Geometry | General Engineering |
| Plane Geometry | Derivation of Formulas |
What is the volume of largest right circular cone?
Answer: The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is 19.404 cm^3.
What is the equation for the volume of a right circular cone in terms of the height of the cone and the radius of the base?
The volume of the right circular cone is equal to one-third of the product of the area of the circular base and its height. The formula for the volume is V = (1/3) × πr2h where r is the radius of the base circle and h is the height of the cone.
What is the maximum volume of a cone inscribed in a sphere?
The volume of the largest right circular cone that can be inscribed in a sphere of the radius R is (32/81)πR3 cubic units or (8/27) times the volume of the sphere.
What is the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r?
A sphere of fixed radius (r) is given. Let R and h be the radius and the height of the cone respectively. Hence, it can be seen that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3.
What is the volume of largest right circular cone that can be cut out from a cube of edge 8.4 cm?
404cm3.
What is the volume of the greatest right circular cone which can be cut from a cube of edge 3 cm?
09 cm3.
How do you find the largest volume of a cone inscribed in a sphere?
Since it is a right circular cone then, r2 = R2 – x2 by Pythagoras theorem. Therefore, the volume of the largest right circular cone that can be inscribed in a sphere of the radius R is (32/81)πR3 cubic units or (8/27) times the volume of the sphere.
What is the relation between sphere and cone?
A right cone is a cone with its vertex directly above the center of its base. has a circular base that is joined to a single point (called the vertex). A sphere is a three-dimensional solid consisting of all points that have the same distance from a given center….Surface Area of a Cone.
| s 2 | = | + × π |
|---|---|---|
| s | = | + × |
How do you find the radius of a right circular cone?
So, to determine the radius from the base area:
- Divide the base area by pi.
- The result is the radius of the cone.
What is the height of right circular cone?
Height of the right circular cone \((h) = 2\sqrt 3 \) units. We know that the curved surface area of the right circular cone is \(πrl\).
What is the radius of the largest right circular cone that can be cut out from a cube of edge 4.2 cm?
Therefore radius of the largest circular cone that can be cut out from the cube of edge 4. 2cm is 2.
How do you find the maximum volume of a cone inscribed in a sphere?
What is the radius of the largest right circular cone that can be cut out from a cube of edge?