2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across the top. If the tank is 12feet deep and 6 feet wide across the top and water is being pumped into the tank at the rate of 10 ft/min. , how fast is the surface of the tank rising when the water is 5 feet deep?

Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. a. At what rate is…

A:

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

A:

Q: A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

A: Consider the following:

Q: A rectangular trough is 10ft. long and 3ft. wide. Find how fast the surface rises, if water flows in…

A: Since you have asked multiple questions in a single request we will be answering only the first…

Q: A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet…

A: We can consider two similar triangles from the question and using that we can make an expression for…

Q: 1. Water is flowing at the rate of 2 m3/min into a tank in the form of an inverted cone having an…

A: It is given that the cone has altitude 16 m and radius 4 m. That is, hcone=16,rcone=4. Let r and h…

Q: 2. A water heater that has the shape of a right cylindrical tank with a radius of 2 ft and a height…

A:

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

A:

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

A: Let, l be the length of a legth of a leg of an isosceles right triangle, h be the length of the…

Q: A substance evaporates at a rate proportional to the exposed surface. If a sphericalmothball of…

A: The rate of evaporation is proportional to the exposed surface, and the exposed surface is that of a…

Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

A:

Q: A water tank has the shape of a horizontal cylindar with radius 1 and length 2. If water is being…

A:

Q: Water is being poured at the rate of 27 m³/min. into an inverted conical tank that is 12-meter deep…

A: Given that a canonical tank that had radius is 6meter and height is 12 meter and dh/dt= 1/6…

Q: 2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

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 flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in…

A: Given: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm…

Q: A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running…

A: It is given that a baseball diamond has the shape of square with side 90 feet long. Construct the…

Q: Water is being released from a conical reservoir (vertex down) 20 ft in radius and 40 ft deep at a…

A: Use similar triangle to shoe that  r/20 = h/40 where r and h are the radius and height of water in…

Q: Question 4

A: Let a be the acceleration, v be the velocity, s be the position and t be the time of braking.

Q: A trough is 14 ft long and its ends have the shape of isosceles triangles that are 5 ft across at…

A: Similar triangles property is used as the height and width of the water level is proportional to the…

Q: A water heater that has the shape of a right cylindrical tank with a radius of 1 ft and a height of…

A: The right cylindrical tank has radius 1ft and height 4 ft. The water in it is draining at the rate…

Q: Water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min. If the radius of the…

A: Given, water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min (ie) Volume is…

Q: If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at what…

A: (a)Given:

Q: 5. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows…

A:

Q: 10. A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall…

A: We have to find the water level rising at rate of

Q: Water is flowing into an inverted conical reservoir, 20 ft deep and 10 ft across the top, at the…

A:

Q: The legs of an isosceles right triangle increase in length at a rate of 5 m/s. a. At what rate is…

A:

Q: How fast is the surface area of a circular oil spill in the ocean changing when the radius is 10ft…

A:

Q: A softball diamond is a square whose sides are 60 ft long. Suppose that a player running from first…

A: Suppose , y is the distance from the home and x is the distance from first base. Given that ,…

Q: Water is being poured at the rate of 27 m²/min. into an inverted conical tank that is 12-meter deep…

A:

Q: Water is flowing into a vertical cylindrical tank at the rate of 5cu.ft/min. if the radius of the…

A: The volume of a cylinder:,V = πr2hWhere, V = Volume of the cylinder  r = Radius of the base  h =…

Q: 9. A paper cup has shape of a cone with height 10 cm and radius 3 cm (at the top). If water is…

A:

Q: 1. Water is flowing into a vertical cylindrical tank at the rate of 24 cu. ft. per min. If the…

A: Given , Water is flowing into vertical tank at rate if 24 cu .ft . per min. Radius of tank is 4ft.…

Q: 1.) Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top.…

A: step by step clear explanation is given .Have a look

Q: A hemispherical tank full of water is emptied by a pipe at the rate 3 4/7 liters per second. How,…

A:

Q: (b) Water runs into a conical tank at the rate of 9 m /min. The tank stands point down and has a…

A:

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min.…

A:

Q: 5. A baseball diamond has the shape of a square with sides 90 ft long. A player 60 ft from second…

A:

Q: Imagine a sphere whose radius r increases at a rate of 3 cm/s. At what rate is the volume V of the…

A: Note the results : Volume of the sphere is 43πr3 . Suppose F is a function of x and x is a function…

Q: A baseball diamond has the shape of a square with sides 90 ft long, as shown. A player is running…

A: A baseball diamond has the shape of a square with sides 90 feet long. A player running from second…

Q: 4. A street light is at the top of a 16 ft pole. A 6 ft tall woman walks along a straight path away…

A:

Q: A baseball diamond is a square with with side 90 feet (between the bases). A batter hits the ball…

A: Roughly draw the situation first Where x= Distance covered by batter at time t D= Distance of the…

Q: A conical tank has height 3 m3 m and radius 2 m2 m at the base. Water flows in at a rate of 2…

A:

Q: 11. At what rate is the volume of the cube changing if the edge is 8 cm and is changing at 4 cm/s?

A: As we know that; The expression for the volume of the cube with the edge length ''a'' is: v=a3…

Q: D A child is rolling a spherical snowball with an outer 1) Tayer of ice so that the volume Of the…

A: As per bartleby answering guidelines we are supposed to answer only first question in case of…

Q: A cube is expanding in such a way that the length of its diagonal is increasing at a rate of 5…

A: Let y be the diagonal, x be the length of an edge and V be the volume of the cube at any time t.…

Q: If a spherical balloon is being filled with air at a constant rate of 2 cm³/s, at what rate is the…

A: Let r be the radius of the balloon in cm and V be the volume in cm3. The variable t stands for time…

Q: A trough is 14 ft long and its ends have the shape of isosceles triangles that are 4 ft across at…

A:

Q: 2. A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter.…

A:

Q: The legs of an isosceles right triangle increase in length at a rate of 4 m/s. a. At what rate is…

A:

Q: 4. A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm…

A: Given: 4) Question is wrong (Some values are missed) 5) dxdt=10 ft/sec, h=100 ft, and l=125 ft