Back to Course

JSS2: MATHEMATICS - 3RD TERM

0% Complete
0/0 Steps
  1. Scale Drawing | Week 1
    3 Topics
    |
    1 Quiz
  2. Angles of Elevation & Depression | Week 2
    3 Topics
    |
    1 Quiz
  3. Pythagoras’ Theorem I | Week 3
    3 Topics
    |
    1 Quiz
  4. Pythagoras’ Theorem II | Week 4
    2 Topics
    |
    1 Quiz
  5. Area and Volume of Cones and Cylinders | Week 5
    3 Topics
    |
    1 Quiz
  6. Cones | Week 6
    3 Topics
    |
    1 Quiz
  7. Bearings and Distances I | Week 7
    2 Topics
    |
    1 Quiz
  8. Bearings and Distances II | Week 8
    2 Topics
    |
    1 Quiz
  9. Presentation of Data | Week 9
    6 Topics
    |
    1 Quiz
  10. Probability | Week 10
    6 Topics
    |
    1 Quiz



Lesson Progress
0% Complete

Topic Content:

  • Definition of Cone

What is a Cone?

A cone is a special pyramid with a circular base that tapers to a point called the apex.

A cone may be right or skewed. A right circular cone is simply called a cone. In a right cone, the height is usually perpendicular to the base 

Screenshot 2024 04 23 at 08.32.45
Cone

Volume of Cone = \( \frac{1}{3} \: \times \: \scriptsize area\:of\:base\:circle \: \times \: height \\ \frac{1}{3} \: \times \: \scriptsize \pi r^2 \: \times \: h \\ \frac{1}{3}\scriptsize \pi r^2 h\)

This formula shows that the volume of a cone is one-third the volume of a cylinder with the same radius and height as the cone. 

Example 6.1.1: 

The base diameter of a right cone is 16 cm, and the slant height is 10 cm. 

(a) Find the perpendicular height of the cone 
(b) Find the volume of the cone 

 

You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!

Click on the button "Subscribe Now" below for Full Access!

Subscribe Now

Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!

Responses

Your email address will not be published. Required fields are marked *

Powered By MemberPress WooCommerce Plus Integration