1 / 20

VOLUMES OF RIGHT CIRCULAR CYLINDER & CONE CLASS-VIII

VOLUMES OF RIGHT CIRCULAR CYLINDER & CONE CLASS-VIII. PRESENTED BY MAHESH KUMAR BADETRI TGT (MATHS) JAWAHAR NAVODAYA VIDYALAYA DURG. OBJECTIVES. After completion of this presentation you will be able to know about :- The basic knowledge of cone and cylinder.

gary-oconnor
Download Presentation

VOLUMES OF RIGHT CIRCULAR CYLINDER & CONE CLASS-VIII

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. VOLUMES OF RIGHTCIRCULAR CYLINDER & CONECLASS-VIII PRESENTED BY MAHESH KUMAR BADETRI TGT (MATHS) JAWAHAR NAVODAYA VIDYALAYA DURG

  2. OBJECTIVES • After completion of this presentation you will be able to know about:- • The basic knowledge of cone and cylinder. • How to calculate the volume of cone and cylinder. • How to solve the problems of cone & cylinder.

  3. PREVIOUS KNOWLEDGE • Students must have knowledge of • shapes of circle & its area • right angle triangle • rectangle etc.

  4. CONTENTS • Introduction • Some examples of cylinder & cone • Formulas for evaluation of volume ofcylinder and cone • An ideal problem and solutions of that problem • Recapitulation • Query session. • Assignment. • Acknowledgement.

  5. CYLINDER

  6. * Base of a cylinder is a circle So that the area of the base = π r2 r O Base of the cylinder

  7. DISCRIPTION A right circular cylinder is made of many circular discs

  8. 3-D FORM

  9. When a rectangle rotates through any side,it becomes a right circular cylinder .

  10. Volume of the cylinder = Area of the base X height V = π r2 x h FORMULA

  11. IDEAL QUESTION Ques. :-The diameter of the base of a right circular cylinder is 7 cm. and its height is 40 cm. Find the volume of the cylinder ? Sol. :- Here diameter = 7 cm. radius r = 7/2 cm. height h = 40 cm. So the volume of cylinder V = π r2h V = 22/7x (7/2)2x 40 V = 22/7x 7/2x7/2x 40 V = 1540 cm3

  12. When we rotate a right angle triangle through its perpendicular or base , a right circular cone appears A C B

  13. RIGHT CIRCULAR CONE

  14. π r2 h 1/3 π r2h 1/3 π r2h 1/3 π r2h

  15. FORMULA • Hence a right circular cylinder is made of three equal right circular cones. • So volume of a right circular cone = 1/3 ( volume of right circular cylinder) V = 1/3 x π r2h

  16. RECAPITULATION • A cylinder is made of circular discs • When a rectangle rotates through any side , it becomes a cylinder . • When a right angle triangle rotates through any of its perpendicular sides, forms a cone. • Volume of cylinder = π r2h • Volume of cone =1/3 π r2h

  17. IDEAL QUESTION • Find the volume of a right circular cone whose height is 2.04 m and the radius of the base is 14 cm. • Sol.:- Here radius r = 14 cm. height h =2.04m. = 204 cm. So the volume of cone V = 1/3 πr2h V = 1/3X 22/7x14x14x204 V = 41888 cm3

  18. QUERY SESSION ?

  19. ASSIGNMENTS • Find the volume of right circular cylinder whose radius and height is given below: (i) r = 7 cm., h = 15 cm. (ii) r = 3.5 m , h = 1 m • The circumference of the base of a right circular cylinder is 132 cm. and height is 25 cm. What is the capacity of the cylinder in liters • Find the volume of a right circular cone whose:- (i) r = 6 cm. , h = 7 cm. (ii) r = 3.5 cm. h = 12 cm. • If the height of a cone is 15 cm. and the volume is 1570 cm3 then find the area of the base of the cone.

  20. ACKNOWLEDGEMENT We are thankful to NVS,New Delhi and Regional office Bhopal for inviting us to attend this fifteen days training program at JNV Ratibad Bhopal .we are also thankful to our respective principals smt.Neelam pani, principal JNV Durg and Shri P.P.Singh , Principal JNV Bhind who gave us permission to attend this program .We are also grateful to the organizer of this program and the venue principal shri M. C. Charls and the most important persons shri Kishor garg & shri Gourav Mishra whose effectivce guidance help us to complete this training program successfully THANKS

More Related