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
five-thirds
. quite sure
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- 1. 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?
- 2. 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?
- 3. 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?
- 4. 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?
- 5. 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?
- 6. 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)
- 7. 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
- 8. The three sides of a right triangle are 3cm, 4cm and 5cm respectively. The height of its hypotenuse is () cm
- 9. The two right sides and hypotenuse of a right triangle are 3cm, 4cm and 5cm respectively?
- 10. 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?
- 11. 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______ .
- 12. The surface area of the geometric figure obtained by rotating the rectangle with the side length of 2cm and 4cm around one side is?
- 13. 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
- 14. 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
- 15. 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
- 16. 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
- 17. How to draw a centrosymmetric figure?
- 18. How to draw centrosymmetric figure in mathematics? For example, how to draw when you rotate 180 ° around a certain point?
- 19. Equilateral triangles are both axisymmetric and centrosymmetric, right
- 20. Are regular octagons and regular triangles centrosymmetric