SaiBook.us Measurement

Example

Title: Volume

Grade: 6-a Lesson: S2-L7

Explanation: The best way to understand measurement is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

If the height of a cone is 12 cm and the radius of the circular base is 6 cm, what is its volume?

Step 1a

First, we need to find the diameter using the radius:

\$ Diameter = 2 * Radius = 2 * 6 cm = 12 cm \$

Explanation: Here, we find the diameter by using the radius.

Step 1b

Now we can substitute the values into the formula for the volume of a cone:

\$ V = (1/3) * π * r^2 * h \$

\$ V = (1/3) * π * (6 cm)^2 * 12 cm \$

\$ V ≈ (1/3) * 3.14159 * 6^2 * 12 cm^3 \$

\$ V ≈ 452.3893 cm^3 \$

Therefore, the volume of the cone is approximately 452.39 cubic centimeters.

Explanation: Here, we substitute the values in the formula and finally, we get the volume of a cone.