1 / 15

Volume of Cylinders

Volume of Cylinders. Unit 3: Geometric Applications of Exponents. Cylinder. A cylinder is a three-dimensional figure that has two congruent circular bases. Height. Base. Volume of Cylinders. V = Bh. = (  r 2 ) h.

tiva
Download Presentation

Volume of Cylinders

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. Volume of Cylinders Unit 3: Geometric Applications of Exponents

  2. Cylinder A cylinder is a three-dimensional figure that has two congruent circular bases. Height Base

  3. Volume of Cylinders V = Bh = (r2)h Area is measured in square units. Volume is measured in cubicunits.

  4. Volume of Cylinders - To find the volume of a cylinder, multiply the area of the base by the height. • volume of a cylinder =

  5. Volume of Cylinders V = r2h 1. Find the volume V of the cylinder to the nearest cubic unit.

  6. Volume of Cylinders 2. Find the volume V of the cylinder to the nearest cubic unit.

  7. Volume of Cylinders 3. Find the volume V of the cylinder to the nearest cubic unit. 8 cm V = Bh 15 cm

  8. Volume of Cylinders A juice can has a radius of 2 in. and a height of 5 in. Explain whether tripling the height of the can would have the same effect on the volume as tripling the radius. By tripling the height, you would triple the volume. By tripling the radius, you would increase the volume to nine times the original.

  9. Volume of Cylinders 4. Find the volume V of the cylinder to the nearest cubic unit. 6 ft 5 ft

  10. Volume of Cylinders 5. Find the volume V of the cylinder to the nearest cubic unit. 8 cm 6 cm

  11. Volume of Cylinders Cylinder 2 has the greater volume because 169.56 cm3 > 84.78 cm3. V3.141.5212 V = r2h V 84.78 cm3 V3.14326 V =r2h V 169.56 cm3 Find which cylinder has the greater volume. Cylinder 1: Cylinder 2:

  12. Volume of Cylinders 10 cm 2.5 cm 4 cm 4 cm Cylinder 1 has the greater volume because 196.25 cm3 > 50.24 cm3. V3.142.5210 V = r2h V 196.25 cm3 V3.14224 V = r2h V 50.24 cm3 Find which cylinder has the greater volume. Cylinder 1: Cylinder 2:

  13. Homework: • WT pg. 227 (#2 & 6) • WT pg. 235 (#2, 5, & 8) Change the directions to finding the VOLUME not surface area.

  14. Volume of Cylinders Insert Lesson Title Here Lesson Quiz: Part I Find the volume of each cylinder to the nearest cubic unit. Use 3.14 for . 1. radius = 9 ft, height = 4 ft 2. radius = 3.2 ft, height = 6 ft • 3. Which cylinder has a greater volume? • a. radius 5.6 ft and height 12 ft • b. radius 9.1 ft and height 6 ft

  15. Volume of Cylinders Insert Lesson Title Here Lesson Quiz: Part II 4. Jeff’s drum kit has two small drums. The first drum has a radius of 3 in. and a height of 14 in. The other drum has a radius of 4 in. and a height of 12 in. Estimate the volume of each cylinder to the nearest cubic inch. a. First drum b. Second drum

More Related