Unit 3: Geometric Applications of Exponents

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Unit 3: Geometric Applications of Exponents Volume of Cylinders Unit 3: Geometric Applications of Exponents

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

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 = (r2)h Area is measured in square units. Volume is measured in cubic units.

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

Volume of Cylinders V = r2h 1. Find the volume V of the cylinder to the nearest cubic unit.

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

Volume of Cylinders 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 3. Find the volume V of the cylinder to the nearest cubic unit. 6 ft 5 ft

Volume of Cylinders 4. Find the volume V of the cylinder to the nearest cubic unit. 8 cm 6 cm

Find which cylinder has the greater volume. Volume of Cylinders Find which cylinder has the greater volume. Cylinder 1: V = r2h V  3.14  1.52  12 V  84.78 cm3 Cylinder 2: V = r2h V  3.14  32  6 V  169.56 cm3 Cylinder 2 has the greater volume because 169.56 cm3 > 84.78 cm3.

Find which cylinder has the greater volume. Volume of Cylinders 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  196.25 cm3 Cylinder 2: V = r2h V  3.14  22  4 V  50.24 cm3 Cylinder 1 has the greater volume because 196.25 cm3 > 50.24 cm3.

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 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 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