Question

How do you compute the volume of a partially filled cylinder on its side by knowing the height of the fluid on a vertical diameter measuring stick?

Answer 1

Solution :

Since, we can measure the height of fluid. Let it be h.

So height of cylinder is double the height i.e. 2h because cylinder is partially filled.

Also, we can also measure diameter. Let it be d.

Now, we know, radius is haft the length of diameter.

So, r = d/2.

Volume of cylinder is given by :

$V =\pi \times radius^2 \times height \\\\V =\pi\times (\dfrac{d}{2})^2 \times 2h\\\\V = \dfrac{ \pi d^2 h}{2}$

Hence, this is the required solution.