What to do: To fill the cylinder with water, click on the "1. Fill Cylinder" button.
Step 1: Click "1. Fill Cylinder" to begin.
Sit into the appropriate number of groups. In each group, take a cylinder having a diameter of the base equal to the diameter of the sphere. The diameter and height of the cylinder must be equal. Now, fill the water in the cylinder and note down the quantity of the water in the cylinder using a measuring cylinder.
Now put the sphere into the cylinder as shown in the picture. Then put the water in the cylinder with the sphere from the measuring cylinder. Again note down the quantity of the water in the cylinder using a measuring cylinder. Now compare the quantity of water with and without putting the sphere in the cylinder and present the result in the class.
Here, the quantity of the water by putting the sphere in the cylinder is one-third of the water without putting the sphere in the cylinder. The two-third of the water was replaced by the sphere.
Volume of the sphere (V) =
23
volume of cylinder
=
23
(base area of the cylinder × height)
=
23
(πr2 × h) =
23
(πr2 × d) [∵ d = h]
=
23
πr2 × 2r =
43
πr3
Volume of sphere (V) =
43
πr3 where r = radius of the sphere.