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MG 1.3 Know and use the formula for the volume of a cylinder. Students will know the formula for the volume of a cylinder. Students will use the formula.

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Presentation on theme: "MG 1.3 Know and use the formula for the volume of a cylinder. Students will know the formula for the volume of a cylinder. Students will use the formula."— Presentation transcript:

1 MG 1.3 Know and use the formula for the volume of a cylinder. Students will know the formula for the volume of a cylinder. Students will use the formula to find the volume of a cylinder.

2 Volume of a Cylinder

3 Formula V= π r²h This should look very familiar after finding the area of a circle. Most of the formula is the same, but we are now also multiplying it by the height. This distance from the top of the can to the bottom of the can.

4 Formula V= π r²h This should look very familiar after finding the area of a circle. Most of the formula is the same, but we are now also multiplying it by the height. This distance from the top of the can to the bottom of the can. A=πr²

5 V= π r²h volume pi radius height

6 Steps to Finding the Volume 1.Write the formula V= π r²h 2.Find and substitute in the radius. 3.Find and fill in the height 4.Fill in the value for π. 3 or Solve the equation.

7 10 m 2m 1.Write the formula V= π r²h 2.Find and substitute in the radius. 3.Find and fill in the height. 4.Fill in the value for π. 3 or Solve the equation remembering. V= π r²h

8 10 m 2m V= π r²h V= π (2m)²h 1.Write the formula V= π r²h. 2.Find and substitute in the radius. 3.Find and fill in the height. 4.Fill in the value for π. 3 or Solve the equation.

9 10 m 2m V= π r²h V= π (2m)²h V= π (2m)²(10m) 1.Write the formula V= π r²h 2.Find and substitute in the radius. 3.Find and fill in the height. 4.Fill in the value for π. 3 or Solve the equation remembering.

10 10 m 2m V= π r²h V= π (2m)²h V= π (2m)²(10m) V=3(2m)²(10m) 1.Write the formula V= π r²h 2.Find and substitute in the radius. 3.Find and fill in the height. 4.Fill in the value for π. 3 or Solve the equation remembering.

11 10 m 2m V= π r²h V= π (2m)²h V= π (2m)²(10m) V=3(2m)²(10m) V=3(4m²)(10m) V=12m²(10m) V=120m³ 1.Write the formula V= π r²h. 2.Find and substitute in the radius. 3.Find and fill in the height. 4.Fill in the value for π. 3 or Solve the equation.

12 Is there another way that we can do this? yes

13 Remember before we were finding the area of the circle. If we have the area all we need to do is multiply it by the height.

14 15ft A=6ft² Step: 1. Multiply the area of the circle by the height. V=6ft²(15ft) V=90ft³

15 Now it is your turn.

16 6m r=5m V=πr²h V=π(5m)²h V=π(5m)²(6m) V=3(5m)²(6m) V=3(25m²)(6m) V=75m²(6m) V=450m³ 1.Write the formula V= π r²h. 2.Find and substitute in the radius. 3.Find and fill in the height. 4.Fill in the value for π. 3 or Solve the equation.

17 30cm A=6cm² Step: 1. Multiply the area of the circle by the height. V=Ah V=6cm²h V=6cm²(30cm) V=180cm³

18 MG 1.3 Know and use the formula for the volume of a cylinder. Students will know the formula for the volume of a cylinder. Students will use the formula to find the volume of a cylinder.


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