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Math 8

Volume

TermDefinition
Volume of a Cone v = 1/3 x pi x r^2 x h Volume = 1/3 x pi x radius squared x height
Volume of a Cylinder v = pi x r^2 x h Volume = pi x radius squared x height ex. can
Volume of a Sphere v = 4/3 pi x r^3 Volume = 4/3 x pi x radius cubed ex. ball
Steps to Find the Volume 1. Write the (correct) formula 2. Substitute in known values 3. Solve
Volume of Sphere Example v= 4/3(pi)r^3 v=4/3(3)^3(pi) v=36pi units cubed
Volume units Always cubed or to the 3rd power Ex. cm^3
What is the relationship between the volume of a cylinder and a cone? cylinder = pi x r squared x h cone = 1/3 x pi x r squared x h The only difference in the formulas is the cone is 1/3, so the cone is 3 times smaller or the cylinder is 3 times bigger.
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