Question

The diagram shows a cylindrical container used to serve coffee in a hotel.
The container has a height of $50cm$ and a radius of $18cm$.

Calculate the volume of the cylinder.

Answer 1

$\text{We}\text{have}$

$\text{Let}\text{the}\text{Container}\text{height}\text{h}\text{=}\text{50}\text{c}\text{.m}\text{.}$

$\text{radius}\text{r}\text{=18}\text{c}\text{.m}\text{.}$

$\text{then,}$

$\text{Volume}\text{of}\text{cylinder}\text{=}\pi {\text{r}}^{\text{2}}\text{h}$

$\text{=}\frac{\text{22}}{\text{7}}\times \text{18}\times \text{18}\times \text{50}$

$\text{=16200}\pi \text{c}{\text{m}}^{\text{3}}$

$\text{=16200}\times \frac{\text{22}}{\text{7}}$

$\text{=50893}\text{.8}\text{c}{\text{m}}^{\text{3}}$

$\text{Hence,}\text{this}\text{is}\text{the}\text{answer}\text{.}$