1 / 9

Surface Area & Volume

Lesson 19. Surface Area & Volume. Volume of Sectors of Cylinders. Warm-Up. Find the area of the sectors labels at 1 . Use 3.14 for π . Round to the nearest hundredth. 1. 1. Volume of Sectors of Cylinders. Target: Calculate the volume of sectors of cylinders.

evers
Download Presentation

Surface Area & Volume

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson 19 Surface Area & Volume Volume of Sectors of Cylinders

  2. Warm-Up Find the area of the sectors labels at 1. Use 3.14 for π. Round to the nearest hundredth. 1 1

  3. Volume of Sectors of Cylinders Target: Calculate the volume of sectors of cylinders.

  4. Volume of a Sector of a Cylinder • Find the volume of the cylinder. • Write a proportion. Set the ratio of the central angle to 360⁰ equal to the ratio of the volume of the sector to the volume of the cylinder. • Set the cross products equal to one another. Solve.

  5. Example 1 A cylinder has a radius of 5 cm and is 3 cm tall. Find the volume of a 90° slice of the cylinder. Use 3.14 for π. • Use the cylinder volume formula. V = πr2h • Substitute all known values. V ≈ (3.14)(5)2(3) • Evaluate. V ≈ 235.5 • Write a proportion to find the volume of the sector. • Set cross products equal. 360x ≈ 21,195 • Divide by 360 on both sides. 360 360x ≈ 58.875 • The sector has a volume of about 58.875 cm3.

  6. Example 2 Taye made a cylindrical quiche to serve at brunch. The quiche was cut into equal-sized slices, each with a central angle of 45⁰. The volume of each slice was 12.5 cubic inches. What was the volume of the entire quiche? • Substitute known values into a proportion. • Set cross products equal. 45x = 4500 45 45 • Divide. x = 100 • The volume of the entire quiche was 100 in3.

  7. Exit Problems • Set up and write a proportion then find the volume of the sector. Use 3.14 for .

  8. Communication Prompt Describe how to find the volume of a sector of a cylinder.

More Related