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Volume Of Cylinders

Volume Of Cylinders

Assessment

Presentation

Mathematics

8th Grade

Hard

CCSS
8.G.C.9, 7.G.B.4, HSG.GMD.A.3

Standards-aligned

Created by

John Gast

Used 11+ times

FREE Resource

4 Slides • 4 Questions

1

Volume Of Cylinders

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2

Open Ended

How do you find the area of a circle? What formula do you use?

3

 V = πr2hV\ =\ \pi r^2h  

  • Plug in what you know...

  •  V = (3.14)(32)(6)V\ =\ \left(3.14\right)\left(3^2\right)\left(6\right)  

  •  V = 3.14  96V\ =\ 3.14\ \cdot\ 9\cdot6  

  •  V = 56  3.14V\ =\ 56\ \cdot\ 3.14  

  •  V = 175.8 m3V\ =\ 175.8\ m^3  

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4

 V = πr2hV\ =\ \pi r^2h  

  • Is the radius 10?

  • Plug in what you know...

  •  314 = π(5)2h314\ =\ \pi\left(5\right)^2h  

  •  314 = 3.1425h314\ =\ 3.14\cdot25\cdot h  

  •  314 = 78.5  h314\ =\ 78.5\ \cdot\ h  

  •  31478.5= 78.5h78.5\frac{314}{78.5}=\ \frac{78.5h}{78.5}  

  •  4 in= h4\ in=\ h  

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5

We need to find the volume of the empty space in the jar.

  • Volume of entire jar - volume of the salsa

  •  V = (V jar)(V Salsa)V\ =\ \left(V\ jar\right)-\left(V\ Salsa\right)  

  •  V = (πr2h1)(πr2h2)V\ =\ \left(\pi r^2h_1\right)-\left(\pi r^2h_2\right)  

  •  V =(3.145210)(3.14524)V\ =\left(3.14\cdot5^2\cdot10\right)-\left(3.14\cdot5^2\cdot4\right)  

  •  V = 785  314V\ =\ 785\ -\ 314  

  •  v = 471 cm3v\ =\ 471\ cm^3  

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6

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Volume Of Cylinders

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