trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 2 ft3 min 12 ft→ 3 ft 3 ft (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when h is 1.6 feet deep? X ft/min

Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A:

Q: Water is pouring into an inverted cone at the rate 3.14 cubic meters per minute. The height of the…

A:

Q: 1. Water is flowing into a vertical cylindrical tank at the rate of 24 ft3/min. If the radius of the…

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

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

A: Let us take any height h in the inverted pyramid. For height h the length of the sides of the…

Q: trough is being filled up with swill. It is 10 feet long, and its cross section is an isosceles…

A:

Q: A bag of sand originally weighing 144 lb was lifted at a constant rate. As it rose, sand also leaked…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

A: The volume of a regular pyramid with height h of apex from base square of side a is given by,…

Q: A balloon is rising at a constant speed of 10 ft/sec. A boy is cycling along a straight road at a…

A: Explanation and solutions is given below....

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A: According to the Pythagoras theorem:

Q: A U-shaped tube open to the air at both ends contains some mercury. A quantity of water is carefully…

A: We have to calculate the vertical distance h from the top of the mercury in the right-hand arm of…

Q: . A conical paper cup 3 inches across the top and 4 inches deep is full of water. The cup springs a…

A:

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

A:

Q: waterlevel rising when the water is 6 feet deep?

A: Given that: Water runs into a canonical tank at the rate of 9 cubic feet per minute. dvdt  = 9 ft3 /…

Q: 1 The volume of a cone of radiusr and height h is given by V A water tank has the shape of an…

A: The answer is given as follows.

Q: 14. A trough is 75 cm long and its ends in the form of an isosceles triangle has an altitude of 20…

A:

Q: 3. A light at eye level stands 20 ft from a house and 15 ft from the path leading from the house to…

A:

Q: Water is flowing into a leaky cistern at the rate of 31.4 cu ft./min. The cistern is a right…

A: We know that the volume of the right circular cone is  V=13πr2h Differentiate the volume with…

Q: Water is flowing into a (inverted) conical reservoir 20 feet and 10 feet across the top, at the rate…

A:

Q: b) A tank of water in the shape of a cone is leaking water at a constant rate of 2ft³ /hour. The…

A: The formula for volume of cone is given by,…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

Q: Problem 27

A:

Q: baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with…

A:

Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A: The volume of a cone of height h and radius r is given by…

Q: Water is flowing into a conical cistern at the rate of 8 m^3/min. If the height of the inverted cone…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

A:

Q: A car is moving at a rate of 70 miles per hour, and the diameter of its wheels is 2.5 feet (round…

A: Given a car is moving at a rate of 70 miles per hour, and the diameter of its wheels is 2.5 feet…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

Q: A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes…

A:

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

A: Given that inverted pyramid rate 60 cm^3 per second Length (l) = 3 cm Height (h) = 9 cm So,…

Q: A car is moving at a rate of 70 miles per hour, and the diameter of its wheels is 2.5 feet. (Round…

A:

Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A:

Q: Two cylindrical swimming pools are being filled simultaneously at the same rate of cubic meter per…

A: Two cylindrical  are being filled simultaneously at same rate Smaller pool has radius = 5m   water…

Q: A street light is at the top of a 20 foot tall pole. A 6 foot tall woman walks away from the pole…

A:

Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A: The cup is being filled at a ate of 32 in3/sec. So dVdt=32( where V is the volume of cup) height of…

Q: placed with its axis in a horizontal position. Water, t. in diameter is initially filling the tank,…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

Q: Water pumped out of a cylindrical container at a rate of 8 cubic meters per second. If the radius of…

A:

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A:

Q: Water is running into an inverted cone at the rate of t cubic metres per minute. The height of the…

A: Find the the rate of change of h with respect to t

Q: Water drains from a conical tank at the rate of 5 ft3/min. The tank stands point down and has a…

A: At any time t, let the height of the water be h ft and the radius of the cone formed by the volume…

Q: Water is drained out of an inverted cone, having the dimensions depicted in the figure below. If the…

A:

Q: A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A:

Q: 4. A tank is shaped like an upside-down square pyramid, with base of 4 m by 4 m and a height of 12 m…

A: The volume of a square pyramid of base b units and height h units is given by the equation; V=13b2h…

Q: A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10…

A: Given:-for conical tank height,  h0=10 ftradius,  r0=6 ftwater is leaking at the rate of 10 cubic…

Q: 5. A trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet…

A:

Q: a girl flies a kite at a height of 300ft. the wind carrying the kite horizontally away from her at a…

A:

Q: A cylindrical container has initially 400cm^3 of water and is being filled at the constant rate of…

A: The cylindrical container has 400cm3 of water. The rate of being filled per second is 100 cm3. And…

Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A:

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

A: Given : height of the pyramid = 7 cm Sides = 2 cm

Q: A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10…

A: