After thwarting the Persians with the three Spartans, Miss Loi will be busily lighting up many many joss sticks to ‘celebrate’ this long weekend!
To spice up your holidays, she will leave you with a commonly-asked question starring an enigmatic inverted cone of water that has been sighted many many times …
The diagram shows a vertical cross-section of an inverted cone of height 10 cm and base radius 6 cm. Water is poured in to a height of x cm.
- Show that the volume, V cm3, of water in the container is (3π/25)x3 cm3.
- Find the approximate increase in V when x increases from 3 to 3.02 cm.
Next time, instead of daydreaming at the water dispensor, why not think about how familiar the little cone you’re drinking from is going to be in your exam? 🙂
