After cutting a 5 cm high cone along its height, the surface area increases by 10 square centimeters. What is the volume of this cone

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• 1. Given that the generatrix of a cone is 5cm in length and 4cm in height, how to find the volume of the cone?
• 2. If the surface area of the cone is 15 π, then the center angle of the side view is 60 ° and the volume of the cone is? Let the generatrix be l and the bottom radius be r The lateral area is 60 × Pai × L Λ 2 / 360 = Pai × R × L L = 60R Why not?
• 3. If the surface area of the cone is 15 π and the center angle of the side view is 60 °, then the volume of the cone is 15 π___ ．
• 4. If the surface area of the cone is 15 π and the center angle of the side view is 60 °, the volume of the cone will be smaller Detailed explanation: if the radius of the cone bottom is r, the perimeter of the cone bottom is 2 π R. if the center angle of the side view is 60 °, the arc length of the sector is 2 π R, and the radius of the sector is l, then 60 π L / 180 = 2 π R, l = 6R, the area of the sector is 2 π R × 6R / 2 = 6 π R & # 178; the surface area of the cone is 15 π = the bottom area + the area of the sector = π R & # 178; + 6 π R & # 178; = 7 π R & # 178;, R & # 178; = 15 / 7, r = √ 105 / 7, and the generatrix length of the cone is 6R, According to Pythagorean theorem, the height of the cone is √ 35r, and the volume of the cone is π R & # 178; × √ 35r / 3 = 25 π √ 3 / 7 π R & # 178; × √ 35r / 3 = 25, π √ 3 / 7 is wool?
• 5. If the surface area of the cone is 15 π and the center angle of the side view is 60 °, then the volume of the cone is 15 π___ ．
• 6. The surface area of a cone is 7. The volume of a cone can be calculated by a sector of 60 degrees around the central angle of the circle
• 7. If the axial section of a cone is an equilateral triangle and its area is 3, then the side area of the cone is 3______ ．
• 8. If the axial section of a cone (the section passing through the top and bottom diameter of the cone) is an equilateral triangle of area 3, then the total area of the cone is () A. 3πB. 33πC. 6πD. 9π
• 9. Let the area of the axial section of a cone be root 3, and the radius of the bottom surface be 1
• 10. If the side area of a cone is 8 π square centimeter and its axis section is an equilateral triangle, the area of the axis section is () a 8 root sign 3 cm & # 178; B 4 root C 8 is 3 π CM & # 178; D 4 is 3 π CM & # 178;
• 11. How to draw an orthographic projection of a cone How to draw conic and cylindrical orthographic projection, please help!
• 12. Conic orthographic projection is an equilateral triangle with side length of 3. What is its side area? (what is the degree of the central angle of the circle)
• 13. A cone whose axis section is an equilateral triangle is called an equilateral cone. Given that the bottom radius of the equilateral cone is r, its surface area and volume can be calculated
• 14. If the axial section of a cone is an equilateral triangle, then its side area is () A. 4 times B. 3 times C. 2 times D. 2 times
• 15. If the axial section of a cone is an equilateral triangle and its area is 3, then the side area of the cone is 3______ ．
• 16. If the axial section of a cone is an equilateral triangle, then its side area is () A. 4 times B. 3 times C. 2 times D. 2 times
• 17. If the section of a cone passing through an axis is an equilateral triangle, then the ratio of its side area to its bottom area is () A. 3：2B. 3：1C. 5：3D. 2：1
• 18. Does y = x square have an inverse function
• 19. How to find the inverse function of x square + 1 of y = 2 Inverse function of x square + 1 of y = 2
• 20. The process of solving inverse function of square-4 of function y = (x-1)