SPHERE.pptxllllllllllllllllllllllllllllllllllllllll

educational

1. Mathematics- 9

2. GUESS THE RIDDLES

3. I’m green outside, sweet inside, and in summer heat, I’m the best retreat. What I am? WATERMELON

4. What has one foot but no legs? FOOTBALLL

5. I am a mother from a family of eight. Spins around all day despite my weight. had a ninth sibling before founding oout its fake EARTH

6. I come from Asia and have cylinder segments inside. I’m used in Thai food and my juices helps digestion. What am I? POMELO

7. SPHERE

8. The sphere is a three-dimensional shape, also called the second cousin of a circle. A sphere is round, has no edges, and is a solid shape. The playing ball, balloon, and even light bulbs are examples of sphere shape.  

9. How Is the Sphere Different From Other Three-Dimensional Objects? Unlike other three-dimensional objects, such as the cube, cone, and cylinder, the  sphere shape  does not have any flat surface, vertex, or edge. It only has a rolling surface.

10. Important Elements of a Sphere Shape  The important elements of a  sphere  are the following:

11.   The distance between the center of a  sphere and its surface is called the radius. It is denoted by the letter  r . RADIUS

12.   Think of the diameter as the longest straight line you can put inside a sphere. The diameter passes through the center and joins two opposite points on the surface of a sphere. Its value is always twice that of the radius. It is denoted by the letter  d .   The formula to calculate the diameter of a  sphere  is 2 r .   d  =  2r DIAMETER

13.   The circumference of a sphere can be defined as the greatest cross-section of a circle that we can cut from a sphere. The formula for the circumference of a sphere is given by 2 × π ×  r. C =   2 π  r,  where r is the radius of the circle and π (pi) is approximately 3.14. CIRCUMFERENCE

14. Did you know that the equator is one of Earth’s great circles? If you were to cut into the Earth right on its equator, you’d have two halves: the northern and southern hemispheres.

15. The surface area of a sphere is the total area of its rolling surface. The formula to calculate the surface area of a sphere is given by, SA  =  4 π   ,  where r is the radius of the circle and π(pi) is approximately 3.14. It is measured in square units.   SURFACE AREA

16. The volume of a sphere can be defined as the capacity of a liquid that the sphere would hold if it were completely hollow. For example, the amount of water you can fill in an earthen pot defines its volume as a spherical object. The formula to calculate the volume of a sphere is given by, V = It is measured in cubic units.   VOLUME

17. FORMULA: DIAMETER d  =  2r CIRCUMFERENCE C =   2 π  r SURFACE AREA SA  =  4 π VOLUME V =  

18. EXAMPLES

19. EXAMPLES: Example 1: If the radius of a sphere is 5 cm, find its circumference. Solution: We know that the circumference of a sphere is given by C = 2 x π x r For the given sphere, r = 5 cm. Therefore, circumference of the given sphere = 2 x 3.14 x 5 = 31.4 cm.

20. Example 2: If the radius of a sphere is 10 cm, find its surface area. S olution: We know that the surface area of a sphere is given by  Surface Area =4  r2 For the given sphere, r =10 cm. Substituting the value of “ r ” in the formula, we get, SA =4×3.14×10×10 SA =4×3.14×100 SA =1256 cm²  Therefore, the surface area   of this   sphere is   1256 cm².

21. Example 3: What is the volume of a sphere of radius 7 cm? Solution: We know that the volume of a sphere is given by For the given sphere, r = 7 cm. V = 43 x 3.14 x 7 x 7 x 7 V = 43 x 3.14 x 343 V = 1436.02 . Therefore, the volume of the given sphere is 1436.02  

22. QUIZ Find the radius of a spherical ball that has a surface area of 2464 Find the diameter of a sphere whose volume is 6  

23. ASSIGNMENT If the earth is a sphere and it has 7920 miles in diameter, finds its volume in cubic miles. What is the volume of a sphere whose surface is 620 ?  

24. THANK YOU AND GOD BLESS!!!