Do Now 1. On your desk: whiteboard, marker, eraser 2. On your whiteboard, answer the following: -What do you already know about volume? -How can you find the volume of an object (think about the general formula for volume)?

Volume Words Dimensions Units Volume: the number of cubic units needed to fill a given space/figure -Volume has 3 dimensions: length, width, and height -We can think of this as base (length and width) times the height

Where do we see cylinders in everyday life? A cylinder is a three-dimensional figure that has two congruent circular bases. Where do we see cylinders in everyday life?

Volume of Cylinders Words Representation Formula Cylinder: The volume of a cylinder is the area of the base B times the height h. V = Bh V = (r2)h V = r2h

Example 1: Finding the Volume of Cylinders Find the volume of the figure to the nearest tenth. Use 3.14 for . V = r2h 4 in. 12 in.

Example 2: Volume of Cylinders Find the volume of the figure to the nearest tenth. Use 3.14 for . V = r2h 8 cm 15 cm

Example 3: Volume of Cylinders Find the volume of the coke can whose diameter is 2 inches and height is 5 inches. V = r2h

Work Session Complete Volume of Cylinders Word Problems #1-6

Do Now On your desk: whiteboard, marker, eraser Take out homework from last night for review https://www.youtube.com/watch?v=RZkhnIzBC_k

Words Representation Formula A cone is a three-dimensional figure with one curved surface, a circular base, and one vertex. Words Representation Formula Cone: The volume of a cylinder is one-third the area of the base B times the height h.  

Find the volume of the figure where h = 7 m and r = 3 m. Use 3.14 for p.  

Find the volume of the figure. Use 3.14 for p.  

Fabian wants to know the volume of the party hats he is using for his birthday party. They have a height of 10 inches and a diameter of 8 inches. Find the volume and round to the nearest tenth. Use 3.14 for p.  

These silos are used for holding grain These silos are used for holding grain. The diameter of one silo is 30 feet, the height of the cylinder is 50 feet, and the height of the cone is 10 feet. What is the maximum amount of grain one silo could hold?

Do Now On your desk: whiteboard, marker, eraser Write homework in agenda – notice you have a skills check on Tuesday & your Unit 3 Test on Friday Take out last night’s homework for review https://www.youtube.com/watch?v=RZkhnIzBC_k

Words Representation Formula A sphere is a three-dimensional figure made up of all points that are the same distance from the center. Each half is called a hemisphere. Words Representation Formula Sphere: The volume of a cylinder is four-thirds pi times the cube of the radius r.  

Find the volume if the radius is 3 cm. Use 3.14 for p.

The diameter of a basketball is 9. 51 inches The diameter of a basketball is 9.51 inches. Find the volume and round the nearest tenth. Use 3.14 for p.

The diameter of the moon is 2,159 km The diameter of the moon is 2,159 km. Find the volume for just the northern hemisphere of the moon and round the nearest tenth. Use 3.14 for p.

Suppose this ice cream cone is completely filled with ice cream and above the cone the ice cream makes a perfect hemisphere. Find the total amount of ice cream if the diameter of the cone is 2 inches and the height of the cone is 4 inches. Cylinder Cone