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VOLUME Learning Target: Students will discover the relationship between the volumes of a cone, cylinder, and sphere.

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Expectations… Do not touch any of the materials in the bucket until you are told to do so. All group members are to participate and record answers on their own paper. You are to work with inside voices. Stay at your group – do not get up and walk around. Be respectful of materials.

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Volume of Cylinders Unit 3: Geometric Applications of Exponents

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A cylinder is a three-dimensional figure that has two congruent circular bases. Cylinder Height Base

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Volume of Cylinders K (Key Word) I (Information) M (Memory Cue) Cylinder The volume of a cylinder is the area of the base B times the height h. V = Bh = ( r 2 )h Area is measured in square units. Volume is measured in cubic units.

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Volume of Cylinders multiply the area of the base by the height. - To find the volume of a cylinder, multiply the area of the base by the height. -volume of a cylinder =

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1. Find the volume V of the cylinder to the nearest cubic unit. V = r 2 h Volume of Cylinders

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2. Find the volume V of the cylinder to the nearest cubic unit.

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8 cm 15 cm V = Bh Volume of Cylinders 3. Find the volume V of the cylinder to the nearest cubic unit.

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A juice can has a radius of 2 in. and a height of 5 in. Explain whether tripling the height of the can would have the same effect on the volume as tripling the radius. By tripling the height, you would triple the volume. By tripling the radius, you would increase the volume to nine times the original. Volume of Cylinders

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6 ft 5 ft Volume of Cylinders 4. Find the volume V of the cylinder to the nearest cubic unit.

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8 cm 6 cm Volume of Cylinders 5. Find the volume V of the cylinder to the nearest cubic unit.

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Find which cylinder has the greater volume. Cylinder 1: V 3.14 1.5 2 12 V = r 2 h V 84.78 cm 3 Cylinder 2: V 3.14 3 2 6 V = r 2 h V 169.56 cm 3 Cylinder 2 has the greater volume because 169.56 cm 3 > 84.78 cm 3. Volume of Cylinders

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Find which cylinder has the greater volume. Cylinder 1: V 3.14 2.5 2 10 V = r 2 h V 196.25 cm 3 Cylinder 2: V 3.14 2 2 4 V = r 2 h V 50.24 cm 3 Cylinder 1 has the greater volume because 196.25 cm 3 > 50.24 cm 3. 10 cm 2.5 cm 4 cm Volume of Cylinders

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Homework: Volume of Cylinders in the MSG Your answers should be in pi form and in standard form.

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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 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 Volume of Cylinders

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Lesson Quiz: Part II Insert Lesson Title Here 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 Volume of Cylinders

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