Question

Volume of cylinder = n𝛑$r^2$h. Find the value of n.

Answer 1

Hint: Study the makings of a cylinder and derive the formula of volume of cylinder using area of circle and the height of the cylinder. A cylinder is basically a lot of circles piled up on each other up-to a certain height. So, multiply the area of the circle with height up-to which it is piled to obtain the answer.

Complete step-by-step answer:
To find the volume of a cylinder we have to firstly study how we can open a cylinder to its most basic elements.

We have a cylinder of radius r and the height of the cylinder is h. So, we have circles stacked up-to the height h.


We can make the above assumptions by studying what a cylinder is and what are its properties.


A cylinder is a three-dimensional solid that contains two parallel bases connected by a curved surface. The bases are usually circular in shape. The perpendicular distance between the bases is denoted as the height “h” of the cylinder and “r” is the radius of the cylinder.


So, we have the area of the base i.e. area of the circle as π$r^2$.

And we have the height of the cylinder as the h.


So, volume of the cylinder = π$r^2$h.


When we compare it, the equation given in the equation we find the value of n = 1.


Note: Remember that there are cylinders who might not be Right cylinders which means that base and height are not perpendicular. So, in those cases just replace the height with slant height and we will get the answer.