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**Volume of Cylinders Notes**

10-8 Volume of Cylinders Notes Course 1

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Course 1 10-8 Volume of Cylinders 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.

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**Additional Example 1A: Finding the Volume of a Cylinder**

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

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**Additional Example 1B: Finding the Volume of a Cylinder**

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

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**Additional Example 1C: Finding the Volume of a Cylinder**

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

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**Volume of Cylinders 10-8 Check It Out: Example 1A**

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

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**Volume of Cylinders 10-8 Check It Out: Example 1B 8 cm 6 cm**

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

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**Volume of Cylinders 10-8 Check It Out: Example 1C h r = + 5 4 h = 8 in**

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

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

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**Find which cylinder has the greater volume.**

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

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**Insert Lesson Title Here**

Course 1 10-8 Volume of Cylinders 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 1,017 ft3 2. radius = 3.2 ft, height = 6 ft 193 ft3 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 1, ft3 1, ft3

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**Insert Lesson Title Here**

Course 1 10-8 Volume of Cylinders 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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