Volume of cylinders

1. Volume of Cylinders Lesson One: End of Year Acceleration 2013

2. Warm-up Find the volume of the following 3D objects. A cube with sides of 5.5 cm. The object below: 166.38 cm 3 3,412.5 in 3 15 in 17.5 in 13 in MCC8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

3. Recap of Warm-up What formula did you use to find the volume of the 3D objects? L x W x H L x W = Area of the base figure MCC8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

4. Parts of a Cylinder Sketch a cylinder and label the radius and height.

5. Volume Volume – Is the space that a figure occupies. Remember it is measured in cubic units. cm 3 , in 3 , m 3 , ft 3 MCC8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

6. II. Volume of a Cylinder r h V = Bh Volume of right cylinder Height of cylinder Area of base: (Circle) A = r 2 MCC8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

7. 16ft 9ft V = Bh = r 2 • h = (8ft) 2 • (9ft) = 64ft 2 • (9ft) = 576ft 3 = 1809.6ft 3 Area of a Circle MCC8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

8. What have we learned?? Volume of a prism or a cylinder: V = Bh Capitol “B” stands for area of the base. Composite Figures: Made up of two separate solids. MCC8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.