Given that the height of a cone is 6cm and the radius of the bottom circle is 8cm, what is the generatrix length of the cone?
The height, generatrix and base radius of the cone form a right triangle, in which the generatrix is the hypotenuse
According to the Pythagorean theorem, generatrix 178; = height 178; + radius 178;
So bus = √ (6 & # 178; + 8 & # 178;) = √ (36 + 64) = √ 100 = 10cm
RELATED INFORMATIONS
- 1. It is known that both the generatrix length and the bottom diameter of a cone are equal to 2. If a circle is cut out from its side view, the maximum area of the circle is? Such as the title
- 2. If the area of the axis section of a cone whose generatrix length is 4 is 8, the height of the cone is obtained
- 3. Let l be the length and l be the height of the generatrix of the cone, and let two generatrix passing through the cone make a section to get the maximum area of the section
- 4. If the generatrix length of the cone is l and the bottom radius is L / 2, the area of the largest section passing through the apex of the cone is
- 5. The lengths of three sides of △ ABC are 3, 4 and 5 respectively. Point P is the point on its inscribed circle. Find the maximum and minimum of the sum of the areas of three circles with diameters PA, Pb and PC
- 6. There is a point P in the equilateral △ ABC. The distance from it to the three vertices a, B and C is 1, root 2 and root 3 respectively. Find the degree of ∠ ABC
- 7. A triangle is a point that is equidistant from each vertex of the triangle______ The intersection of the two
- 8. Given that point O is the center of circumscribed circle of triangle ABC, tangent AC length is 4, AB length is 2, then vector AO * vector BC =?
- 9. The reasoning process of calculating the radius of inscribed circle and circumscribed circle of triangle RT
- 10. Radius formula of inscribed circle and circumscribed circle How to find the radius of the inscribed circle? For example: in the RT triangle ABC, if the lengths of two right angles are 5cm and 12cm respectively, then the circumscribed circle radius of the right triangle is______ The radius of inscribed circle is_______ . It seems to have something to do with the sine theorem
- 11. A cone billet with a height of 9 decimeters is called a cylinder with the same base after melting and casting. The height of the cylinder is () decimeters
- 12. If a cuboid, a cylinder and a cone have the same base area and volume, then the height of the cone is cylindrical______ The height of a cuboid is the height of a cone______ .
- 13. Unfold the side wrapping paper of a cylindrical food can to get a square. The bottom radius of the cylindrical can is 5cm, and the height of the cylinder is 5cm______ (expressed in π)
- 14. A cone with a bottom radius of 5cm and a height of 15cm is immersed in a cylindrical container with a radius of 10cm. After taking out the cone, how many cm will the water surface drop?
- 15. The iron cone of a cone has a bottom radius of 5cm, a height of 10cm, 6.8g per cubic centimeter and a weight of several grams? Come on, there's a prize
- 16. The two right sides of a right triangle are 6cm and 8cm respectively, and the length of the hypotenuse is 10cm. If one side is taken as the axis respectively, then the volume of the hypotenuse is taken as the axis to rotate one circle
- 17. As shown in the figure, be is the diameter of circumscribed circle O of △ ABC, CD is the height of △ ABC, and the proof is: AC · BC = be · CD
- 18. In the triangle ABC, a = 65, D, e and F are the points on BC, Ca and ab respectively, and BF = DF =, CE = de. the degree of EDF is calculated
- 19. As shown in the figure, in the triangle ABC, ∠ B = ∠ C, D is the point on BC, and FD ⊥ BC, de ⊥ AB, ∠ AFD = 140 °, can you find the degree of ⊥ EDF?
- 20. D. E, f are the points on each side of △ ABC, and DF / / AB, de / / BC, we know ∠ B = 60 °, find the degree of ∠ EDF, and explain the reason