Download presentation

Presentation is loading. Please wait.

Published bySheryl Austin Modified over 8 years ago

1
OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE SURFACE AREAS OF CIRCULAR SOLIDS 12.3 Surface Areas of Circular Solids

2
Cylinders A cylinder resembles a prism in having two congruent parallel bases. The bases are circles. If we look at the net of a cylinder, we can see two circles and a rectangle. The circumference of the circle is the length of the rectangle and the height is the width.

3
Theorem The lateral area of a cylinder is equal to the product of the height and the circumference of the base where C is the circumference of the base, h is the height of the cylinder, and r is the radius of the base.

4
Definition The total area of a cylinder is the sum of the cylinder’s lateral area and the areas of the two bases.

5
Cone A cone resembles a pyramid but its base is a circle. The slant height and the lateral edge are the same in a cone. Slant height (italicized l) height radius

6
Theorem The lateral area of a cone is equal to one-half the product of the slant height and the circumference of the base where C is the circumference of the base, l is the slant height, and r is the radius of the base.

7
Definition The total area of a cone is the sum of the lateral area and the area of the base.

8
Sphere A sphere is a special figure with a special surface-area formula. (A sphere has no lateral edges and no lateral area).

9
Postulate where r is the sphere’s radius

10
Example 1 Find the total area of the figure 5 6

11
Example 2 Find the total area of the figure 5 6

12
Example 3 Find the total area of the figure 5

13
Summary Explain in your own words how to find the surface area of a cylinder? Homework: worksheet

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google