Transcript VOLUMES OF CYLINDERS, CONES AND SPHERES
VOLUME OF CYLINDERS AND CONES
1. Find the length of a side of a square if the area is 64 cm².
2. Find the length of a cube if the volume is 8 inches².
5. Find the distance between (1, 3) and (-2, 1).
Take a few minutes to write down what you know about volume.
Today we are going to work at finding the formulas for volume of a cylinder and cone.
In your groups, use the NETS to help you discover the formulas.
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build the cylinder and cone look at the basic shapes that make up a cylinder and cone use your prior knowledge of volume of prisms and area to help you
Volume of a Cylinder: A cylinder is made up of a base (circle) and a height (rectangle).
Volume of a rectangular prism: l Area of a circle:
(the base of a cylinder is circular)
h (l and w make up the base of the prism) V = h x b V = h x
Now, let’s perform an experiment to discover how the cylinder and cone are connected with regards to their volume.
Can you predict the volume of each figure? (given that each has the same diameter and height) Let’s look at the relationship between the cone and the sphere first.
Find the volume of the cylinder.
Find the volume of the cone: