1. Math CC7/8 – Mar. 2 Math Notebook:
Things Needed Today (TNT):
Pencil/Math Notebook/Calculator
Filling & Wrapping
Math Notebook:
Topic: Volume of Cylinder
HW: pg #3, #4 (only do volume), #7a, #29 & worksheets

2. What’s Happening Today?
Warm up
Lesson 4.1 (short version) &4.2 Vol. of Cylinders!
Begin HW?

3. Warm Up (no calculator!)
What is the slope of the line represented by the equation
What is the y-intercept of the line represented by the equation 2 3
y = x - 4 -4 2 3
y = x - 4
2/3
Solve the equations.
(w - 6) = 3(w + 1)
b + 46 = 3(b -15)
10b+ 46 = 3b-45
-3b b
7b = -45
7b = -91
b= -13
4w – = 3w + 3
4w = 3w +27
-3w w
w = 27

4. More Warm Ups… A = π (2.5) A = π (6.25) A = 19.625 square inches
A = π r * r
A = π (9)(9)
A = square feet
About 255 square feet 2
A = π (2.5)
A = π (6.25)
A = square inches

5. More Warm Ups…. A = π r2 = (3.14)5(5) = 78.54 cm sq. C = 2πr
Find the area of the circle and the circumference
C = 2πr
= 2(3.14)(5)
= 31.42cm
d=10cm
A = π r2
= (3.14)5(5)
= cm sq.

7. 28 cm sq
76 cm sq
3. You can use the radius and height to find the area of the circle(π x6) and to find the length of the rectangle..
28 cm sq
SA= 132 cm sq
4. You could move the circles to any other position along the long side of the rectangle as long as there is one circle on each long side.

8. 2. SA = 5cm(4cm*3.14) + 2(3.14)(2cm)(2cm) = 87.92 cm sq

9. cm sq

12. We did not do this part of 2.1! 
V = (3.14) (r) (r) (h)
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13. The cylinder with the larger base has a larger volume
The cylinder with the greater height has a smaller volume.

14. B = (3.14) 5 x 5 What is the area of the base? (B) V = 78.5 x 12
Suppose that a cylinder has a radius of 5 cm and a height of 12 cm.
B = (3.14) 5 x 5
What is the area of the base? (B)
What is the volume of the cylinder?
V = 78.5 x 12
= 942 cubic cm
What is the formula for volume of a cylinder?

15. The cylinders have different areas of the base (B) and different heights, so the volumes will be different.
So… if you build 2 cylinders from the same rectangle, the one with the larger base will have the greatest volume.

16. p. 83 #3, 4 – volume only, #7a, & worksheets
Homework: F&W
p. 83 #3, 4 – volume only, #7a, & worksheets