AP Calculus

Water flows at a rate of 2 cu. ft. per minute into a vessel in the form of an inverted right circular cone of altitude 2 ft. and the radius of base 1 ft. At what rate is the surface rising when the vessel is one-eighth filled?

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    1. How does groundwater cause erosion and deposition? a. When acidic water soaks into the ground, water dissolves limestone, resulting in the formation of caves. *** b. When a river overflows, it moves downhill, resulting in the

  2. Calculus

    A rectangular trough is 8 feet long, 2 feet aross the top and 4 feet deep, if water flows in At a rate of 2 cubic feet per minute. How fast is the surface rises when the water is 1 feet deep.?

  3. calculus

    Water is pouring into a conical vessel 15cm deep and having a radius of 3.75cm across the top. If the rate at which the water rises is 2cm/sec, how fast is the water flowing into the conical vessel when the water is 4cm deep?

  4. Differential Calculus

    From a faucet, a constant inflow of water is to fill a conical vessel 15 feet deep and 7.5 feet in diameter at the top. water is rising at the rate of 2 feet per minute when the water is 4 feet deep. what is the rate of inflow in

  1. Please check my calculus

    A conical tank has a height that is always 3 times its radius. If water is leaving the tank at the rate of 50 cubic feet per minute, how fast if the water level falling in feet per minute when the water is 3 feet high? Volume of a

  2. Math

    The area of cross section of a pipe is 5.4 centimetres square and the water pump out of it at the rate of 27 kilometre per hour find the volume of water which flows out of the pipe in 1 minute

  3. Calculus

    Water flows from the bottom of a storage tank at a rate of r(t) = 400 − 8t liters per minute, where 0 ≤ t ≤ 50. Find the amount of water that flows from the tank during the first 45 minutes.

  4. science

    A Navy vessel is traveling due north during wartime. A torpedo has been launched by an enemy directly toward the stern (rear) of the vessel. Can the vessel outrun the torpedo if both continue in a straight line due north? Select

  1. calculus

    Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0

  2. math

    Suppose water flows from a shower at a rate of 0.32 cubic feet per minute. Do you use more water by taking a 12-minute shower or by filling a bathtub with 0.4 cubic yards of water, and by how much?

  3. math

    Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0

  4. Math

    A rectangular tank 40cm wide by 50 cm long by 30 cm high is filled up with water up to 2/3 of its height .water flows from a tap into the tank at a rate of 0.5 liter per minute. Find the amount of water in the tank after 30

You can view more similar questions or ask a new question.