Area of Cone & Cylinder

1. Area of Cone & Cylinder Ruby Sharma

2. What is AREA?
Area is defined as the total space taken up by a flat
(2-D) surface or shape of an object.
Take a pencil and draw a square on a piece of
paper. It is a 2-D figure. The space the shape takes
up on the paper is called its Area.

3. Mathematical Example of Cone & Cylinder
Cone
Cylinder

4. Real World Example of Cone & Cylinder

5. Area of Cone
The Area of a cone is given by the following formula:

6. Area of Cylinder
The Area of a cylinder is given by the following
formula:

7. Sample Questions
Question 1: How to calculate the slant height of a cone?
Question 2: Calculate the cost required to paint a container which is in the
shape of a right circular cylinder having a base radius of 7 m and a height of 13
m. If the painting cost of the container is INR 2.5/m2. (Take π = 22/7)

8. Answers
Answer 1:
The slant height of a cone is
calculated using the formula
s=√(r2 + h2) units, where “r” is
the radius and “h” is the height
of a cone.
Answer 2:
Total surface area of aquarium
= 2πr (h + r)= 2 × (22/7) × 7 × 20
= 880 m2
Total cost of painting the
container = 2.5 × 880 = Rs.
2200

9. Thank You !