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MJ2

MJ2. Ch 12.3 – Volume of Cylinders. Bellwork. Calculate the volume of the rectangular prism. Round to the nearest 10 th . Use the formula V = Bh. 4 ft. 3.25 ft. 21.5 ft. Note: To receive full credit you must write the problem & your answer. Bellwork Solution. V = Bh. V = ℓw h.

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MJ2

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  1. MJ2 Ch 12.3 – Volume of Cylinders

  2. Bellwork • Calculate the volume of the rectangular prism. Round to the nearest 10th. Use the formula V = Bh 4 ft 3.25 ft 21.5 ft Note: To receive full credit you must write the problem & your answer

  3. Bellwork Solution V = Bh V = ℓwh V = 21.5(3.25)(4) V = 21.5(13) V = 279.5 ft2 4 ft 3.25 ft 21.5 ft

  4. Assignment Review • Text p. 522 # 6 – 15

  5. Before we begin… • Please take out your notebook and get ready to work… • In the last lesson we looked at the volume of rectangular prisms… • In today’s lesson we will look at the volume of cylinders… • We will continue to use the formula method to demonstrate what you have learned and to minimize errors…

  6. Objective 12.3 • Students will calculate the volume of cylinders using a formula

  7. Vocabulary • A cylinder is a solid whose bases are congruent, parallel circles, connected with a curved side Bases

  8. Cylinders • You can calculate the volume of cylinders by using the formula V = πr2h • The formula can be found on the FCAT reference sheet. • Be careful here! – The formula callsforr (radius) if you are given d (diameter), you must convert it to r by dividing by 2.

  9. Example V = πr2h 6 ft 1. Write the formula V = 3.14(6)2(20) 2. Substitute V = 3.14(36)(20) V = 3.14(720) V = 2260.0 ft3 3. Do the math 20 ft Your solution is cubed because you are measuring 3 dimensions

  10. Your Turn • In the notes section of your notebook draw & label the figure and then calculate volume using the formula method 30 m 18 m

  11. Your Turn Solution • In this example you are given diameter. The formula calls for r…so before you begin you must covert d to r by dividing 30 by 2 to get r = 15 V = πr2h V = 3.14(15)2(18) V = 3.14(225)(18) V = 3.14(4050) 30 m V = 12717 m3 18 m

  12. Summary • In the notes section of your notebook summarize the key concepts covered in today’s lesson. • Today we discussed: • Volume of cylinders • How can you tell the bases? • What methodology will you use to calculate the volume?

  13. Assignment • Text p. 526 # 9 – 22 Reminder • This assignment is due tomorrow • I do not accept late assignments • Draw the figure and show how you got your answer using the formula method

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