1. Volume of Cylinders

2. 43210 In addition to 3, student will be able to go above and beyond by applying what they know about volume of cones, spheres and cylinders. The student will know and use the formulas for volume of cones, cylinders and spheres. - Students can apply these formulas to solve real- world mathematica l problems. With no help the student has a partial understandin g of volume of cones, cylinders and spheres. With help, the student may have a partial understandin g of volume of cones, cylinders and spheres. Even with help, the student is unable to find the volume of cones, cylinders and spheres. Focus 12 - Learning Goal: The student will know and use the formulas for volume of cones, cylinders and spheres.

3. Definition of a Cylinder A cylinder is made up of two identical circular bases and one rectangle.

4. Definition of a Cylinder continued… Height Base The HEIGHT is the distance between the two circular bases. The BASE of a cylinder is the circle at the top or at the bottom.

5. Volume of all prisms and cylinders is found by multiplying the area of the base times the height. Step 1: Decide what shape the base is. (rectangle, triangle or circle) Step 2: Find the area of the base. Step 3: Multiply by height. Formula: V=Bh V = Volume, B = area of the base, h = height How to Find Volume

6. Find the volume of the cylinder. 10 in. 15 in. Radius = 5 in! Step 1: Determine what shape the base is: circle Step 2: Find the area of the base  (5 2 ) = Step 3: Multiply by the height: 25  (15)= 375  in 3 25  Area of a circle is found by multiplying  by radius squared.

7. Find the volume of the cylinder. Step 1: Determine what shape the base is: circle Step 2: Find the area of the base  (10 2 ) = Step 3: Multiply by the height:  (22)= 2,200  25  The volume of the cylinder is 2,200  mm 3.

8. Work the problems backwards: The volume of a cylinder is 832π ft 3. The radius is 8 ft. What is the height of the cylinder? Since we are missing the height, work the problem backward. V = Bh 832π = (π 8 2 )h 832π = (64π)h 64 π 64π 13 = h The height of the cylinder is 13 ft.