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

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. Volume of a Cylinder. Formula. V= π r²h.

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

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  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=πr²h 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=πr²h A=πr² 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.

  5. V=πr²h volume pi radius height

  6. Steps to Finding the Volume • Write the formula V=πr²h • Find and substitute in the radius. • Find and fill in the height • Fill in the value for π. 3 or 3.14. • Solve the equation.

  7. 2m 10 m V=πr²h • Write the formula V=πr²h • Find and substitute in the radius. • Find and fill in the height. • Fill in the value for π. 3 or 3.14. • Solve the equation remembering.

  8. 2m 10 m V=πr²h V=π(2m)²h • Write the formula V=πr²h. • Find and substitute in the radius. • Find and fill in the height. • Fill in the value for π. 3 or 3.14. • Solve the equation.

  9. 2m 10 m • Write the formula V=πr²h • Find and substitute in the radius. • Find and fill in the height. • Fill in the value for π. 3 or 3.14. • Solve the equation remembering. V=πr²h V=π(2m)²h V=π(2m)²(10m)

  10. 2m 10 m • Write the formula V=πr²h • Find and substitute in the radius. • Find and fill in the height. • Fill in the value for π. 3 or 3.14. • Solve the equation remembering. V=πr²h V=π(2m)²h V=π(2m)²(10m) V=3(2m)²(10m)

  11. 2m 10 m • Write the formula V=πr²h. • Find and substitute in the radius. • Find and fill in the height. • Fill in the value for π. 3 or 3.14. • Solve the equation. V=πr²h V=π(2m)²h V=π(2m)²(10m) V=3(2m)²(10m) V=3(4m²)(10m) V=12m²(10m) V=120m³

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

  15. Now it is your turn.

  16. r=5m 6m • Write the formula V=πr²h. • Find and substitute in the radius. • Find and fill in the height. • Fill in the value for π. 3 or 3.14. • Solve the equation. 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

  17. A=6cm² 30cm 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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