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Volume of Cylinders

Volume of Cylinders. Warm-up. 1. Find the volume of a rectangular prism with a length of 5, width of 4, and height of 3 cm. 2. Find the volume of a triangular prism with a triangle with a base of 8 ft and height of 6 ft and a prism height of 9 ft. V= 5 X 4 X 3 V= 60 cm 3. V= Bh

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Volume of Cylinders

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  1. Volume of Cylinders

  2. Warm-up 1. Find the volume of a rectangular prism with a length of 5, width of 4, and height of 3 cm. 2. Find the volume of a triangular prism with a triangle with a base of 8 ft and height of 6 ft and a prism height of 9 ft. V= 5 X 4 X 3 V= 60 cm3 V= Bh V= ½ (8)(6) X 9 V= 24 X 9 V= 216 ft3

  3. Notes: Volume of Cylinders Same method as prisms: Multiply the area of the base by the height. volume of a cylinder = area of base  height The area of the circular base is r2, so the formula is V = Bh = r2h.

  4. 10 cm ÷ 2 = 5 cm Find the radius. Write the formula. Replace with 3, r with 5, and h with 11. Multiply. V825 V35211 The volume is about 825 cm3. Examples: Volume of Cylinders 1. V = r2h

  5. Multiply. V540 The volume is about 540 ft3. Write the formula. Replace with 3, r with 6, and h with 5. V3625 Examples: Volume of Cylinders Find the volume V of each cylinder to the nearest cubic unit. 2. 6 ft 5 ft V = r2h

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