A cylindrical pool has a height of 8 feet and a radius of 6 feet. How fast is the volume of the water flowing in the pool if the height of the water level is increasing at a rate of 2 inches per minute and the height of the water level from the bottom of the pool is 3 feet? 67 cubic feet per minute (A ... 1 ... B A cubic feet per minute T cubic feet per minute ... 727 cubic feet per minute ...

Q: 3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft above the ground…

A:

Q: A kite is flying at a height of 40 ft. A boy is flying it so that it is moving horizontally at a…

A: Given: Kite is moving horizontally at a rate of 3 ft per sec. To determine: The rate at which the…

Q: 10. A bus is traveling at 66 ft/sec along a straight, level road decelerates at constant rate of 22…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

A:

Q: A 50 feet ladder is leaning against a wall of a building. Suppose the base of the ladder slides away…

A: Rate of change

Q: A ladder is 27 feet long and is leaning against the side of a house. The base is moved away at 3 ft…

A: Solution is given below:

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: Given that,

Q: A boat is pulled into a dock by a rope attached to the bowof the boat and passing through a pulley…

A: Let the distance of the boat B from the dock D be x meter. And the length of the rope is r passing…

Q: Water is pouring into an inverted cone at the rate of 8 cubic meters per minute. If the height of…

A:

Q: How fast is the volume of a sphere changing when the radius is 20 cm if the radius is changing at…

A: We will find the rate of change of volume of sphere at a given radius.

Q: A trough filled with water is 2 m long and has a cross section in the shape of an isosceles…

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A: Side of a cube decrease at rate of 7m/s Rate of change in volume?

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: We have  height of pulley =1 m rate of approach =1 m/s We can assume a triangle as Where x as base…

Q: A conical tank with an upper radius of 4 m and a height of 5 m drains into a cylindrical tank with a…

A:

Q: A baseball diamond is a square with sides of 90 feet. Home Base 90 ft. 90 ft. Ist Base 3rd Base 90…

A: Let us assume that, the position of the batter is B.  3rd base = A Home base = O OB=x AB=y Halfway…

Q: A 25-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 5…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of…

Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

A:

Q: A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

A: Given data:     The given sides of the square is: a=90 feet. The speed of the batter towards the…

Q: A large conical tank of height H being filled with water by a hose at the top of the tank at a rate…

A: given: A large conical tank of height H=9 feet and radius R=3 feet is being filled with water by a…

Q: A ladder 13 feet long is leaning against the wall. If the base of the ladder is pushed toward the…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

Q: A cylindrical pool has a height of 8 feet and a radius of 6 feet. How fast is the volume of the…

A:

Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

A:

Q: The sides of a triangle measuring 40 m, 32 m, and 16 m increase at the rates of 2 m/s, 5 m/s and 3…

A: Area of triangle: If x, y and z are sides of triangle then area A of triangle is given by A = s(s -…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A:

Q: The legs of an isosceles right triangle increase in length at a rate of 6 m divided by s.a. At what…

A: Let x  be the length of leg and h be the length of hypotenuse of an isosceles right triangle. Then…

Q: A ladder is 36 feet long and is leaning against the side of a house. The base is moved away at 2 ft…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic bị b2 centimeters per…

A:

Q: Water is poured at a rate of 10 cubic meters per minute into a conical tank 6 meters across the top…

A:

Q: A rope is attached to a boat at water level, and a personon a dock is pulling the rope at the rate…

A: Let's find speed of boat.

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

A: Given:dvdt=65 cm3secBase of pyramid=6cmHeight of pyramid=9 cmwe have to find the rate at which the…

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: To find the rate of change of volume

Q: A cylindrical pool has a height of 8 feet and a radius of 6 feet. How fast is the volume of the…

A: Given:       Height of cylindrical pool =8 feet        Radius r=6 feet     Volume of cylinder V=πr2h…

Q: If the base h of a triangle is increasing at a rate of 3 inches per minute while its height h is…

A: Area of a triangle of base b and height h is given as, A=12bh The derivative of area with respect to…

Q: A conical tank full of water is 25 ft high and 15 ft in diameter at the top. If water is flowing out…

A: Given that,  Rate of water is flowing out of a cavity at the bottom is dVdt=3ft3/min Diameter of the…

Q: The volume of a cube is increasing at a rate of 56 in3/sec. At what rate is the length of each edge…

A: It is given that volume of cube V=x3 rate of volume increasing at dVdt=56 in3/sec The edge of the…

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A: 4- Given- A man 6 ft tall walks away from the lampost 16 ft. high at the rate of 5 miles per hour.…

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

A:

Q: A right circular cylinder has a 4 inch diameter and is filling with water at a constant rate.  The…

A: Consider the volume of right circular cylinder V. Differentiate it w.r.t time t.…

Q: paper cup has the same shape of a cone with the height of 8cm and a radius 3cm (at the top). If…

A:

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate…

A: Given problem:- How fast is the volume of a cube changing when the edge is 15 cm if the edge is…

Q: A cylindrical pool has a height of 8 feet and a radius of 6 feet. How fast is the volume of the…

A: We need to find how fast volume of water is flowing.

Q: A boat is pulled toward a pier by means of a taut cable. If the boat is 20 ft below the level of the…

A:

Q: A cylindrical pool has a height of 8 feet and a radius of 6 feet. How fast is the volume of the…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per…

A: Solution: Height of a pyramid: h = 11 cm length and width of a pyramid: l = w = 7 cm (top is a…

Q: A cylindrical pool has a height of 8 feet and a radius of 6 feet. How fast is the volume of the…

A: Rate of change

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: topic-equations