# math

Water is flowing at a rate of 10 m3/s into the cylindrical tank shown below.
a) Find the volume V of the water as a function of the water level h.
b) Find h as a function of the time t during which water has been flowing into the tank.

height of cylinder: 80m
height of water: ?
diameter of cylinder: 40m

1. 👍 0
2. 👎 0
3. 👁 134
asked by lou
1. V = pi r^2 h

dV/dt = pi r^2 dh/dt = 10 m^3/s

so
dh/dt = 10/(pi r^2)
h = 0 + [ 10/(pi r^2) ] t

1. 👍 0
2. 👎 0
posted by Damon
2. Andrew’s car starting at 12:00 noon travels west at a speed of 30 kph. Andrei’s car starting from the same point at 2:00 pm travels north at 45 kph. Find how fast the two are separating at 4:oopm.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Maths

Water is flowing at a rate of 15 km/hr through a cylindrical pipe of radius 7cm into a rectangular tank which is 50m long and44m wide. In how many hours will the water level in the tank raise by 21 cm?

asked by Anonymous on March 14, 2017
2. ### Calculus

Water is flowing into a vertical cylindrical tank at the rate of 24 cu. ft. per minute. If the radius of the tank is 4 feet, how fast is the surface rising? Thank You! :)

asked by Faye on October 10, 2017
3. ### maths

Water is flowing at the rate of 15km/hr through a cylindrical pipe of radius 7cm into a rectangular tank which is 50m long and 44m wide. In how many hours will the water level in the tank raise by 21cm

asked by nivi on March 12, 2015
4. ### cfgcfhbcncf

Water is flowing at the rate of 5km/hr through a cylindrical pipe of radius 7cm into a rectangular tank which is 50m long and 44m wide. In how many hours will the water level in7 cm of tank to filled

asked by sfvfzvszc on May 22, 2016
5. ### math

Water is flowing at the rate of 15km/hr. Through a cylindrical pipe of radius 7cm into a rectangular tank which is 50m long and 44m wide.In how many hours will the water label in the tank raised by 21cm

asked by Aashi on March 7, 2014
6. ### math

Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while tank 2 initially contains 20 L of water and 200 g of salt. Water containing 10 g/L of salt is poured into tank1 at a rate of 1 L/min while the mixture flowing

asked by alice on February 6, 2009
7. ### AP Calc. AB

If a cylindrical tank holds 100,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after t minutes as V(t)=100,000(1-(t/50))^2,

asked by Jacke on October 18, 2014
8. ### Calculus 1

Water is flowing into a vertical cylindrical tank of diameter 4 m at the rate of 2 m3/min. Find the rate at which the depth of the water is rising. (Round your answer to three decimal places.)

asked by Dhrupal patel on November 30, 2016
9. ### calculus

water is being siphoned from a cylindrical tank of radius 10m into a rectangular tank whose base measures 20m by 15m. if the depth of the water in the cylindrical tank in decreasing at a rate of 2m/s, at what rate is the depth of

asked by Emily on March 10, 2016
10. ### Calculus

Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The

asked by Anonymous on April 23, 2016

More Similar Questions