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10-8 Volume of Cylinders Notes Course 1

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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 r 2, so the formula is V = Bh = r 2 h. Course Volume of Cylinders

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Additional Example 1A: Finding the Volume of a Cylinder Find the volume V of the cylinder to the nearest cubic unit. Write the formula. Replace with 3.14, r with 4, and h with 7. Multiply. V V = r 2 h V The volume is about 352 ft 3. Course Volume of Cylinders

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Additional Example 1B: Finding the Volume of a Cylinder 10 cm ÷ 2 = 5 cmFind the radius.Write the formula. Replace with 3.14, r with 5, and h with 11. Multiply. V V = r 2 h V The volume is about 864 cm 3. Course Volume of Cylinders

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Additional Example 1C: Finding the Volume of a Cylinder Find the radius. r = + 4 h 3 __ r = + 4 = __ Substitute 9 for h.Write the formula. Replace with 3.14, r with 7, and h with 9. Multiply. V 1, V = r 2 h V The volume is about 1,385 in 3. Course Volume of Cylinders

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Check It Out: Example 1A Find the volume V of each cylinder to the nearest cubic unit. Multiply. V The volume is about 565 ft 3. 6 ft 5 ft Write the formula. Replace with 3.14, r with 6, and h with 5. V = r 2 h V Course Volume of Cylinders

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Check It Out: Example 1B Multiply. V cm ÷ 2 = 4 cm The volume is about 301 cm 3. Find the radius. 8 cm 6 cm Write the formula. Replace with 3.14, r with 4, and h with 16. V = r 2 h V Course Volume of Cylinders

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Check It Out: Example 1C Multiply. V The volume is about 1,231 in 3. Find the radius. r = + 5 h 4 __ r = + 5 = __ Substitute 8 for h. r = + 5 h = 8 in h 4 Write the formula. Replace with 3.14, r with 7, and h with 8. V = r 2 h V Course Volume of Cylinders

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Additional Example 3: Comparing Volumes of Cylinders Find which cylinder has the greater volume. Cylinder 1: V V = r 2 h V cm 3 Cylinder 2: V V = r 2 h V cm 3 Cylinder 2 has the greater volume because cm 3 > cm 3. Course Volume of Cylinders

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Check It Out: Example 3 Find which cylinder has the greater volume. Cylinder 1: V V = r 2 h V cm 3 Cylinder 2: V V = r 2 h V cm 3 Cylinder 1 has the greater volume because cm 3 > cm 3. Course Volume of Cylinders 10 cm 2.5 cm 4 cm

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Lesson Quiz: Part I Find the volume of each cylinder to the nearest cubic unit. Use 3.14 for. Insert Lesson Title Here cylinder b 1, ft ft 3 1,017 ft 3 1, ft 3 Course Volume of Cylinders 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

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Lesson Quiz: Part II Insert Lesson Title Here about 396 in 2 Course Volume of Cylinders 4. Jeffs 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 603 in 2

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