Pre-Calc Pi Day Do Now and Lesson Volume and Surface Area of Cylinders Mr. Mui

1) Monday 3/16/2020 (“A” day) & Tuesday 3/17/2020 (“B” day) “Pi (3.14...) Day Lesson”
EACH DAY’s DO NOW and LESSON MUST BE DONE CAREFULLY (read ALL instructions). The DO NOW must be completed and submitted; you will get a grade AND this is how you will have your attendance recorded for the day. The lesson must be done as well. Problems on future quizzes, tests, and the final will be from some of these lessons, so please take your remote learning and work very seriously. Do all work yourself. Do NOT get someone else’s answers and submit it as your own. This is dishonest and hurts only you because you will not have learned the material to build a strong foundation for your future studies. If you do have questions, please submit to/email me.
Please stay healthy and make good use of your time during each school day.

Mr. Mui
DO NOW:​ The area of a circle is “pi times radius squared”. You can “develop the formula” for the volume of a cylinder (such as a can of soda) by visualizing the cylinder as just many circles stacked up on top of each other, that is why the volume for a cylinder is “pi times radius squared TIMES height”. In other words, there are “h” circles stacked on top of each other.

Calculate the volume of a can of soda. I just measured a can for your convenience. The height is 5 inches and the radius is 1 inch.
Use the value of 3.14 for pi. Calculate the volume of the can in inches^3
(“inches cubed”), to the hundredths place (TWO decimals).
V = 3.14 r^2 h
= 3.14 (1) *5 = 15.70

LESSON​: Saturday, March 14, was “pi Day” . Please go to this website, the home of piday.org. Read carefully and look at each example: ​
https://www.piday.org/learn-about-pi/
You may also watch this Khan Academy video on how to do the calculations:

https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-cones/v/cylinder-volume-and-surface-area

WORK TO DO​: YOU must
1) Find something circular in your house, take the necessary measurement (write & record this!) and then calculate what its area is (include units), to the hundredths place (TWO decimals).

2) a) Find something cylindrical in your house (OTHER than a soda can), take the necessary measurements (write & record these!) and then calculate what its VOLUME (include units)
V = 3.14 r^2 h

b) For the SAME cylinder, calculate the SURFACE AREA, to the hundredths place (TWO decimals).
A= 2 (3.14) r  h + 2 (3.14)  r^2

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