Question

# Water flows at the rate of $$10$$m per minute through a cylindrical pipe $$5$$ mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is $$40$$cm and depth $$24$$cm?

Solution

## R.E.F image Volume of cone $$= \dfrac{1}{3}\times r^{2}h$$$$= \dfrac{1}{3}\times 3.14\times 20\times 20\times 24$$ $$= 3.14\times 400\times 8$$ $$= 10048\, cm^{3}$$Volume flown in $$1$$ min $$= \pi r^{2}h$$$$= 3.14\times \dfrac{2.5}{10}\times \dfrac{2.5}{10}\times 1000\, cm^{3}$$$$= 196.25\, cm^{3}$$$$\therefore$$ time taken $$= \dfrac{10048}{196.25} = 51.2$$$$\therefore$$ 51 minutes and 2 seconds Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More