Cone and stuff
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A cone has a circular base and a single vertex. The volume of a cone is calculated using the formula: Volume = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height. For a conical container filled with 821 1/3 cm^3 of water, the height is calculated to be 7 cm. A conical frustum is formed by slicing off the top of a cone parallel to the base. The volume and surface area of cones and conical frustums can be calculated using various formulas provided in the document.
Cone and stuff
- 2. A cone is a solid that has a circular base and a single vertex.
- 3. Right Cone- Vertex is over the center of the base. Oblique Cone- Vertex is not over the center of the base
- 4. The volume of a cone is given by the formula: Where: Volume = r is the radius of the circular base, h is the height - the perpendicular distance from the base to the vertex. Same for both right angle and oblique.
- 6. The diagram below shows a conical container filled with water. The base of the cone lies on a horizontal table. The volume of water is 821 1/3 cm3. Using pi = 22/7, calculate the height, in cm, of the water in the container.
- 7. The surface area of a cone is given by the formula Where: r is the radius of the circular base, s is the slant height of the cone. But there are no formulas for oblique cone.
- 8. A conical frustum is a frustum created by slicing the top off a cone (with the cut made parallel to the base). To find the slant height, we have to use The formula of the surface area is Area= without the area for both circles.
- 9. The formula for frustum of a pyramid or frustum of a cone is given by Where: h = perpendicular distance between A1 and A2 (h is called the altitude of the frustum) A1 = area of the lower base A2 = area of the upper base Note that A1 and A2 are parallel to each other.
- 10. http://www.mathalino.com/reviewer/derivati on-of-formulas/derivation-of-formula-for-volume- of-a-frustum
- 11. Calculate the: Height of water = 7 1) Volume of the cone. 2) Surface area of the cone. 3) Volume of the conical frustrum. 4) Surface area of the conical frustrum.