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Surface Area & Volume

Lesson 18. Surface Area & Volume. Volume of Cylinders. Warm-Up. Find the area of each circle. Use 3.14 for  . What will have more area, a square with sides that are 10 units or a circle with a diameter of 10 units?. Volume of Cylinders. Target: Calculate the volume of cylinders.

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Surface Area & Volume

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  1. Lesson 18 Surface Area & Volume Volume of Cylinders

  2. Warm-Up Find the area of each circle. Use 3.14 for . • What will have more area, a square with sides that are 10 units or a circle with a diameter of 10 units?

  3. Volume of Cylinders Target: Calculate the volume of cylinders.

  4. Volume of a Cylinder The volume of a cylinder is equal to the product of the area of the base (B) and the height (h). V = Bh V= πr2h

  5. Example 1 Find the volume of the cylinder. Use 3.14 for π. • Write the formula. V= πr2h • Substitute known values. V ≈ (3.14)(8)2(5) • Find the value of the power. V ≈ (3.14)(64)(5) • Multiply. V ≈ 1004.8 • The volume of the cylinder is about 1,004.8 cubic meters.

  6. Example 2 A silo is filled with corn to the top of the cylindrical part. The cylindrical part of the silo is 90 feet tall and has a diameter of 15 feet. About how many cubic feet of corn does the silo hold? • Find the length of the radius. 15 ÷ 2 = 7.5 • Write the formula. A = πr2h • Substitute known values. A ≈ (3.14)(7.5)2(90) • Find the value of the power. A ≈ (3.14)(56.25)(90) • Multiply. A ≈ 15,896.25 • Round the answer. A ≈ 15,896 • The silo holds about 15,896 cubic feet of corn.

  7. Example 3 The volume of cylindrical water cooler is 1695.6 cubic inches. The cooler has a radius of 6 inches. Find the height of the cooler. Use 3.14 for π. • Write the needed volume formula. A = πr2h • Substitute known values. (1695.6) ≈ (3.14)(6)2h • Find the value of the power. 1695.6 ≈ (3.14)(36)h • Multiply. 1695.6 ≈ 113.04h • Divide. 113.04 113.04 15 ≈ h • The height of the water cooler is about 15 inches.

  8. Exit Problems • Find the volume of the cylinder. Use 3.14 for . • A circular swimming pool can hold 7850 cubic feet of water. The diameter of the pool is 50 feet. Find the height of the swimming pool. Use 3.14 for .

  9. Communication Prompt You are helping out in a 2nd grade math class. The students know you are working on a unit about volume. One of the 2nd grade students asks you, “What is volume?” How would explain it to them?

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