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10-8

Volume of Cylinders. 10-8. Course 1. Warm Up. Problem of the Day. Lesson Presentation. Volume of Cylinders. 10-8. 1,320 cm 3. 359.04 cm 3. Course 1. Warm Up Find the volume of each figure described. 1. rectangular prism with length 12 cm, width 11 cm, and height 10 cm.

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10-8

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  1. Volume of Cylinders 10-8 Course 1 Warm Up Problem of the Day Lesson Presentation

  2. Volume of Cylinders 10-8 1,320 cm3 359.04 cm3 Course 1 Warm Up Find the volume of each figure described. 1.rectangular prism with length 12 cm, width 11 cm, and height 10 cm 2. triangular prism with height 11 cm and triangular base with base length 10.2 cm and height 6.4 cm

  3. Volume of Cylinders 10-8 Course 1 Problem of the Day The height of a box is half its width. The length is 12 in. longer than its width. If the volume of the box is 28 in , what are the dimensions of the box? 3 1 in.  2 in.  14 in.

  4. Volume of Cylinders 10-8 Course 1 Learn to find volumes of cylinders.

  5. Volume of Cylinders 10-8 Course 1 To find the volume of a cylinder, you can use the same method as you did for 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.

  6. Volume of Cylinders 10-8 Write the formula. Replace with 3.14, r with 4, and h with 7. Multiply. V 351.68 V3.14427 The volume is about 352 ft3. Course 1 Additional Example 1A: Finding the Volume of a Cylinder Find the volume V of the cylinder to the nearest cubic unit. V = r2h

  7. Volume of Cylinders 10-8 10 cm ÷ 2 = 5 cm Find the radius. Write the formula. Replace with 3.14, r with 5, and h with 11. Multiply. V 863.5 V3.145211 The volume is about 864 cm3. Course 1 Additional Example 1B: Finding the Volume of a Cylinder V = r2h

  8. Volume of Cylinders 10-8 h 9 __ __ 3 3 Replace with 3.14, r with 7, and h with 9. Find the radius. r = + 4 r = + 4 = 7 Write the formula. V 1,384.74 Multiply. V3.14729 The volume is about 1,385 in3. Substitute 9 for h. Course 1 Additional Example 1C: Finding the Volume of a Cylinder V = r2h

  9. Volume of Cylinders 10-8 Multiply. V 565.2 The volume is about 565 ft3. Write the formula. Replace with 3.14, r with 6, and h with 5. V3.14625 Course 1 Check It Out: Example 1A Find the volume V of each cylinder to the nearest cubic unit. 6 ft 5 ft V = r2h

  10. Volume of Cylinders 10-8 Multiply. V 301.44 8 cm ÷ 2 = 4 cm The volume is about 301 cm3. Find the radius. Write the formula. Replace with 3.14, r with 4, and h with 16. V3.14426 Course 1 Check It Out: Example 1B 8 cm 6 cm V = r2h

  11. Volume of Cylinders 10-8 8 h __ __ 4 4 Write the formula. Replace with 3.14, r with 7, and h with 8. V3.14728 r = + 5 Substitute 8 for h. Multiply. V 1230.88 r = + 5 = 7 The volume is about 1,231 in3. Find the radius. Course 1 Check It Out: Example 1C h r = + 5 4 h = 8 in V = r2h

  12. Volume of Cylinders 10-8 Write the formula. Replace with 3.14, r with 1.5, and h with 5. Multiply. V 35.325 3 in. ÷ 2 = 1.5 in. V3.141.525 The volume of Ali’s pencil holder is about 35 in3. Find the radius. V = r2h Course 1 Additional Example 2A: ApplicationAli has a cylinder-shaped pencil holder with a 3 in. diameter and a height of 5 in. Scott has a cylinder-shaped pencil holder with a 4 in. diameter and a height of 6 in. Estimate the volume of each cylinder to the nearest cubic inch. Ali’s pencil holder

  13. Volume of Cylinders 10-8 3 528 22 22 __ __ ___ __ 7 7 7 7 V = r2h Write the formula. V = 75 Find the radius. 4 in. ÷ 2 = 2 in. V 226 The volume of Scott’s pencil holder is about 75 in3. Replace with , r with 2, and h with 6. Multiply. Course 1 Additional Example 2B: Application Scott’s pencil holder

  14. Volume of Cylinders 10-8 Write the formula. Replace with 3.14, r with 1.5, and h with 6. Multiply. V 42.39 3 in. ÷ 2 = 1.5 in. V3.141.526 The volume of Sara’s sunglasses case is about 42 in3. Find the radius. V =r2h Course 1 Check It Out: Example 2A Sara has a cylinder-shaped sunglasses case with a 3 in. diameter and a height of 6 in. Ulysses has a cylinder-shaped pencil holder with a 4 in. diameter and a height of 7 in. Estimate the volume of each cylinder to the nearest cubic inch. Sara’s sunglasses case

  15. Volume of Cylinders 10-8 22 22 __ __ 7 7 Replace with , r with 2, and h with 7. V 88 Write the formula. Multiply. Find the radius. V 227 The volume of Ulysses’ pencil holder is about 88 in3. V = r2h 4 in. ÷ 2 = 2 in. Course 1 Check It Out: Example 2B Ulysses’ pencil holder

  16. Volume of Cylinders 10-8 Cylinder 2 has the greater volume because 169.56 cm3 > 84.78 cm3. V3.141.5212 V = r2h V 84.78 cm3 V3.14326 V =r2h V 169.56 cm3 Course 1 Additional Example 3: Comparing Volumes of CylindersFind which cylinder has the greater volume. Cylinder 1: Cylinder 2:

  17. Volume of Cylinders 10-8 10 cm 2.5 cm 4 cm 4 cm Cylinder 1 has the greater volume because 196.25 cm3 > 50.24 cm3. V3.142.5210 V = r2h V 196.25 cm3 V3.14224 V = r2h V 50.24 cm3 Course 1 Check It Out: Example 3 Find which cylinder has the greater volume. Cylinder 1: Cylinder 2:

  18. Volume of Cylinders 10-8 1,017 ft3 193 ft3 1,181.64 ft3 1,560.14 ft3 Course 1 Insert Lesson Title Here Lesson Quiz: Part I Find the volume of each cylinder to the nearest cubic unit. Use 3.14 for . 1. radius = 9 ft, height = 4 ft 2. radius = 3.2 ft, height = 6 ft • 3. Which cylinder has a greater volume? • a. radius 5.6 ft and height 12 ft • b. radius 9.1 ft and height 6 ft cylinder b

  19. Volume of Cylinders 10-8 Course 1 Insert Lesson Title Here Lesson Quiz: Part II 4. Jeff’s drum kit has two small drums. The first drum has a radius of 3 in. and a height of 14 in. The other drum has a radius of 4 in. and a height of 12 in. Estimate the volume of each cylinder to the nearest cubic inch. a. First drum b. Second drum about 396 in2 about 603 in2

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