(iii)The Volume of a Cylinder:
A cylindrical shape as said earlier is a built-up of a rectangle with the same size. With the help of two circular bases, we can build a cylinder. Now, for finding the volume of this shape we take the consideration of a 3D counterpart of a rectangle, the cuboid. Using the formula of the volume of a cuboid, we can chart out the volume of any cylindrically shaped container.
We already know that the volume of the cuboid is the product of the area of a rectangle with height; l × b × h.
The same is the situation with a 3D cylindrical container. Here we take the product of the base area and height, to get the volume.
So, the volume of a cylindrical container = Area of circular base × height = `πr^2 × h`.
Therefore,The Volume of a Cylinder = `πr^2 h`.
Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
(a) To find how much it can hold
(b) Number of cement bags required to plaster it
(c) To find the number of smaller tanks that can be filled with water from it.
Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area?