The Volume of 3 Dimensional Shapes 5 in 4 in 5 in 4 in We had previously learned the definition of the Area of an object. So what is Area? Find the area.

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Presentation transcript:

The Volume of 3 Dimensional Shapes

5 in 4 in 5 in 4 in We had previously learned the definition of the Area of an object. So what is Area? Find the area of the figure above. (Your answer should include units.)

What do you think the definition of Volume is? Volume : The measurement of the amount of space inside a figure.

Area and Volume of a Cylinder. L r Area of a Cylinder Knowing the definition of volume, what do you think we will have to consider in the volume equation and why? Volume of a Cylinder

Volume and area of a Cone. Area of a Cone Volume Of a Cone

Volume of a Sphere

Ex.1 Find the area and the volume of the following shape. 6 in 23 in Step 1: Identify the equations needed in order to solve for the volume and the area. Area Volume Step 2: Identify your variables.

Step 1: Identify the equations needed in order to solve for the volume and the area. Step 2: Identify your variables. Area Volume 14 in r = 14 in   3.14 Ex.2 Find the Area and the Volume of the Sphere.

3 in 4 in 5 in Ex.3 Find the Area and Volume of the Cone. If one of those measurement's on the cone was NOT given could you solve for it using the other two known values? Hint: ( Think back to triangles) Step 1: Identify the equations needed in order to solve for the volume and the area Step 2: Identify your variables Area Volume r= 3 in L= 5 in h= 4 in  3.14

Make your own predictions as to how many cones of water will it take to fill in a cylinder.