Volume of Cylinders Unit 3: Geometric Applications of Exponents.

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Volume of Cylinders Unit 3: Geometric Applications of Exponents

A cylinder is a three-dimensional figure that has two congruent circular bases. Cylinder 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 = (  r 2 )h Area is measured in square units. Volume is measured in cubic units.

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 =

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

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

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

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

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

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

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

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

Homework: WT pg. 227 (#2 & 6) WT pg. 235 (#2, 5, & 8) Change the directions to finding the VOLUME not surface area.

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

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