If you rotate a right side of a right triangle as an axis, you will get a cone. How to get the maximum area of the bottom of the cone?
The largest base area of the cone can be obtained by taking the longer right angle side as the base radius
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- 1. A right triangle, the length of the two right sides are 10 cm and 6 cm respectively. Take the two right sides as the axis to rotate one circle, get two cones, which one What's the volume of a cone?
- 2. 1. A right triangle, the length of the two right sides are 6 cm and 8 cm respectively, with a right side as the axis, rapid rotation, you can get a cone, what is the maximum volume of the cone? 2. A cylindrical timber is 3 meters long. After it is cut into two small columns, the surface area increases by 12.56 square decimeters. What is the volume of the original column?
- 3. A right triangle, two right angles are 6 cm and 9 cm respectively, with the longer right side as the axis symmetry, how much is the volume of the cone?
- 4. As shown in the figure, the two right angles of a right triangle paperboard are 4cm and 3cm long respectively. Now, take the right angle of 4cm long as the axis to rotate for a circle, and the volume of the three-dimensional figure is______ Cubic centimeter (results retain π)
- 5. A piece of hard paper of right triangle with two right sides of 5cm and 8cm respectively. The volume of three-dimensional figure can be obtained by rotating one right side of it as an axis The biggest is
- 6. The three sides of a right triangle are 3cm, 4cm and 5cm respectively. The height of its hypotenuse is () cm
- 7. The two right sides and hypotenuse of a right triangle are 3cm, 4cm and 5cm respectively?
- 8. The three sides of a right triangle are 3cm 4cm 5cm. The area of the triangle is the square of () cm, and the height of the hypotenuse is () cm?
- 9. The hypotenuse of a right triangle is 100cm, one is 60cm, and the other is 80cm. How high is the hypotenuse? Because I am only a primary school student.
- 10. The perimeter of a right triangle is 60cm, the shortest side is 15cm, and the largest side is 15cm Second, given that the sum of the two right sides of a right triangle is 34 cm, and the difference between the two right sides is 14 cm, what is the area of the triangle?
- 11. There is a mathematical problem: the length of three sides of a right triangle is 3, 4 and 5. If you rotate each side as an axis for one circle, what geometry will you get? What are their volumes?
- 12. The lengths of three sides of a right triangle are 3, 4 and 5 respectively. If each side is rotated one circle, three solid figures are obtained Find the ratio of the largest volume to the smallest volume in the three solid figures
- 13. A right triangle with three sides of 3cm, 4cm and 5cm is rotated around the shortest right side to get a right triangle______ And its volume is______ .
- 14. The surface area of the geometric figure obtained by rotating the rectangle with the side length of 2cm and 4cm around one side is?
- 15. In the triangle ABC, the angle c = 90 degrees, the circle with a point o on AB as the center and the length of OA as the radius is tangent to BC at points D, AC and ab at points E and f respectively (1) If AC = 6, ab = 10, find the radius of ⊙ o; (2) connect OE, ED, DF, EF, if the quadrilateral bdef is a parallelogram, try to judge the shape of ofDe and explain the reason
- 16. As shown in the figure, a (1,0) B (4,0), point C is on the positive half axis of Y axis. If the area of angle ABC is 6, find the coordinates of point C
- 17. As shown in the figure, a (0,2), B (1,0) BC are bisected by y-axis, and the area of triangle ABC is 3. Calculate the coordinates of point C Point C is in the third quadrant
- 18. As shown in the figure, given points a (- 2,0), B (3,0), point C is on the Y axis, and the area of △ ABC is 15, then the coordinate of point C is
- 19. How to draw a centrosymmetric figure?
- 20. How to draw centrosymmetric figure in mathematics? For example, how to draw when you rotate 180 ° around a certain point?