MJ2 Ch 12.3 – Volume of Cylinders. Bellwork V = BhCalculate the volume of the rectangular prism. Round to the nearest 10 th. Use the formula V = Bh 21.5.

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Presentation transcript:

MJ2 Ch 12.3 – Volume of Cylinders

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

Bellwork Solution V = Bh 21.5 ft 4 ft 3.25 ft V = ℓwh V = 21.5(3.25)(4) V = 21.5(13) V = ft 2

Assignment Review Text p. 522 # 6 – 15

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…

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

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

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

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

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

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 = m 18 m V = πr 2 h V = 3.14(15) 2 (18) V = 3.14(225)(18) V = 3.14(4050) V = m 3

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?

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