#### Transcript VOLUMES OF CYLINDERS, CONES AND SPHERES

**VOLUME OF CYLINDERS AND CONES**

**WARM UP**

**1. Find the length of a side of a square if the area is 64 cmΒ².**

**2. Find the length of a cube if the volume is 8 inchesΒ².**

3.

πππ 4.

π ππ

**5. Find the distance between (1, 3) and (-2, 1).**

**Take a few minutes to write down what you know about volume.**

**https://www.youtube.com/watch?v=cYvw7_TrAXs&index=1&list=RDcYvw7_TrAXs**

**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.**

β’ β’ β’

**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: **

π π π

**(the base of a cylinder is circular)**

β

**w **

β

**h (l and w make up the base of the prism) V = h x b V = h x **

π π π

**Now, letβs 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) Letβs look at the relationship between the cone and the sphere first.**

**Prediction: Actual:**

**https://www.youtube.com/watch?v=QnVr_x7c79w**

**Find the volume of the cylinder.**

**Find the volume of the cone:**