A cone-shaped container is completely filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm³ per hour. How many hours will it take to drain all of the liquid?
pi 60^2 210/3 = 791681
divide 791681 by 1099,
720 hours.
It takes 720 hours or 30 days to drain the liquid.
Answer: It will take 720 hours to drain all of the liquid.
Step-by-step explanation:
Since we have given that
Radius of cone = 60 cm
Height of cone = 210 cm
We need to find the volume of cone:
As we know the formula for "Volume of cone":
\(V=\frac{1}{3}\pi r^2h\\\\V=\frac{1}{3}\times \frac{22}{7}\times 60\times 60\times 210\\\\V=792000\ cm^3\)
Speed of the liquid is drained out from the container = 1099 cm³ per hour.
so, Number of hours it will take to drain all of the liquid is given by
\(Time=\frac{Distance}{Speed}=\frac{792000}{1099}\approx 720\ hours\)
Hence, it will take 720 hours to drain all of the liquid.