Know the formulas for the volumes of cones, cylinders, and spheres

8.G.C.9

**8.G.C.9**: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

8.G.C.9: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

State and apply the formula V = pir^2h to calculate the volume of a cylinder given its radius and height
Explain why the volume of a cone is exactly one-third the volume of a cylinder with the same base and height, and apply V = (1/3)pir^2h to calculate cone volumes
Apply the formula V = (4/3)pir^3 to calculate the volume of a sphere given its radius
Select and apply the correct volume formula when solving real-world and mathematical problems involving cylinders, cones, and spheres
Compare the volumes of different solids by analyzing how changes in radius or height affect the result, and solve problems that require relating the volumes of two or more shapes

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