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Understanding the Volume of Cylinders: A Comprehensive Guide

Learn how to find the volume of cylinders in this engaging lesson. Discover the formula V = B * h, where B is the base area and h is the height. A cylinder consists of two parallel, congruent circular bases, and its volume can be calculated using the radius of the base (r) with the formula B = πr². Work through examples, including calculating the volume of a cylinder-shaped coffee can, and complete guided practice problems for mastery. Prepare effectively for your mid-test with the provided homework exercises.

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Understanding the Volume of Cylinders: A Comprehensive Guide

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  1. Lesson 12-3Pages 524-527 Volume of Cylinders

  2. What you will learn! How to find the volume of cylinders.

  3. Vocabulary

  4. What you really need to know! A cylinder is a solid figure that has two congruent, parallel circles as its bases. The volume V of a cylinder with radius r is the area of the base B times the height h.

  5. Height h Base B = r2

  6. Example 1: Find the volume of the cylinder. Round to the nearest tenth. 5.5 cm 9 cm

  7. Example 2: Find the volume of a cylinder-shaped coffee can that has a diameter of 3 inches and a height of 6 inches.

  8. Example 2:

  9. Page 525 Guided Practice #’s 3-8

  10. Read: Pages 524-525 with someone at home and study examples!

  11. Homework: Page 526-527 #’s 9-27 all #’s 29-40 all

  12. Prepare for Mid-Test! Page 528 #’s 1-14

  13. Page 594 Lesson 12-3

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