Volume and Surface Area of Cones. 2nd Grade of Secondary School
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Explaining about Volume and Area of Cones. The learning material resources for media taken from New Syllabus Mathematics book (7ed), published by Shinglee.

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Slide 1  Mathematics
 Volume and Surface Area of Cones
 2nd grade of Secondary School
 By: I Putu Eka Prana Yoga

Slide 2  Calculate the volume and the surface area of cones.
 Solve problems involving the volume and the surface area of composite solids made up of cones.
 Learning Objectives

Slide 3  Learning Agenda
 Classroom Discussion
 Types of Cones
 Volume and Surface Area of Cones
 Exercise

Slide 4  What are Cones?
 Ice Cream Cone
 Party Hat
 Can you identify some common features of these cones?
 What do you notice about the slanted faces of these cones?
 What do you notice about the bases of these cones?

Slide 5  Definition of Cone
 A cone is solid in which the base is bounded by simple closed curve and the curved surface tapers into a appoint called apex, which is opposite the base.
 Apex
 Height
 Slant Height

Slide 6  Types of Cones
 Circular Base
 Elliptical Base
 Circular Cone
 Elliptical Cone

Slide 7  Types of Cones
 Circular Base
 Elliptical Base
 Circular Cone
 Elliptical Cone
 Circular Cone

Slide 8  Investigation

Slide 9  Ice Cream Cone’s
 3 cm
 16 cm
 3.3 cm
 15 cm
 3.7 cm
 14 cm
 4 cm
 13 cm
 A
 B
 C
 D

Slide 10  Volume of Cone
 Volume of Cone =
 =

Slide 11  A Cone has a circular base of radius 12 cm and height of 30 cm. Find the volume of the cone.
 Example 1
 30 cm
 12 cm
 Volume of Cone =

Slide 12  Exercise 1
 14 cm
 6 cm

Slide 13  The figure shows a frustum which is obtained by removing the smaller cone OAB with base radius of 6 cm from the bigger cone OCD that has a base radius of 18 cm. Given that the height of the frustum is 10 cm, find its volume!
 Example 2
 30 cm
 12 cm

Slide 14  Example 2

Slide 15  Example 2
 15 cm
 5 cm

Slide 16  Exercise 2

Slide 17  Surface Area of Cones
 Total Surface Area of Cone =

Slide 18  A cone has a circular base of radius 6 cm and a slant height of 10 cm. Find the total surface area of the cone!
 Example 3
 10 cm
 6 cm
 Total surface area of the cone =

Slide 19  Exercise 3
 7 cm
 4 cm

Slide 20  A cone has a circular base of radius 3 m and a height of 4 m. Find the curved surface area of the cone!
 Example 4
 4 m
 3 m
 The curved surface area of the cone =

Slide 21  Quiz

Slide 22  Time to Excercise:

Slide 23  Quiz 1
 14 cm
 7 cm

Slide 24  Quiz 2

Slide 25  Quiz 3

Slide 26  Quiz 4

Slide 27
 25 mm
 Circumference of Base= 132 mm
 Quiz 5

Slide 28  Quiz 6

Slide 29  Quiz 7

Slide 30  About This Learning Material
 This learning material is made by:
 I Putu Eka Prana Yoga
 iputueka1993@gmail.com
 @putupranayoga