The volume of a cube is expanding at a rate of 10ft^3/min. How fast are the sides of the cube changing when the sides of the cube are 2 ft.

Q: Suppose that the sides of a cube are expanding at a rate of 2 inches per minute. How fast i the…

A: We need to find the rate of change of volume of cube when side is 20 inches. Volume of cube=(side)3…

Q: A cylindrical rod made of ice is melting at a rate of 8 cm3 per minute. When the length of the rod…

A: The formula for the volume of the cylindrical rod is, V=πr2h where r is the radius of the…

Q: A 13 foot ladder leaning against a wall is pulled away from the wall at a constant rate of 3ft/s and…

A: Given,         A 13-foot ladder leaning against a wall is pulled away from the wall at a constant…

Q: A cylindrical pipe has inner diameter of 7 cm and water flows through It at 192.5 liters per minute.…

A: Topic - mensuration

Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture…

A:

Q: A right triangle has legs of 6 inches and 8 inches whose sides are changing. The short leg is…

A: Given, A right triangle has legs of 6 inches and 8 inches whose sides are changing. The short leg is…

Q: A bucket that weighs 4 pounds and a rope of negligible weight are used to draw water from a well…

A:

Q: Suppose that the sides of a cube are expanding at a rate of 2 inches per minute. How fast is the…

A: all details are given in below. please check it

Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to find changing the surface area

Q: A rectangular tank with a square bottom has base side lengths of 3 feet and a height of 10 feet is…

A: Given that the base of the tank is a square and shape of the tank is rectangular. Also base side…

Q: Suppose the sides of a cube are expanding at a rate of 2 inches per minute, How fast is the volume…

A:

Q: Initially 50 pounds of salt is dissolved in a tank holding 300 gallons of water. A brine solution is…

A:

Q: the

A:

Q: A stone thrown into still water causes a series of concentric ripples. If the radius of outer ripple…

A: Given: A stone thrown into still water causes a series of concentric ripples. If the radius of outer…

Q: The continuous rain causes the current of the water of the river to increase its rate. After each…

A: Initial current of the water = 12 km/hAfter every hour current increases by 2%.Current after 1 hour…

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

A: To find: The rate of incresing level of the water. Given information: The trough is 10 feet long…

Q: A circle is inside a square. The radius of the circle is decreasing ata rate of 5 meters per minute…

A:

Q: A cylindrical tank of radius 10 feet is being filled with wheat at the rate of 314 cubic feet per…

A: consider the radius of a cylindrical tank by r. The volume of a cylindrical tank is given as V. The…

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

A:

Q: A tank shaped like a right circular cone with radius 5 meters and height 15 meters is filled with…

A: What is Derivative: Physically, the derivative of a function represents in which rate a function…

Q: All edges of a cube are expanding at a rate of 6 cm per second. How fast is the volume changing when…

A:

Q: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A tank whose volume is 150 L is initially half full of a solution that contains 100 g of chemical. A…

A: Given that, A tank whose volume is 150 L is initially half full of a solution that contains 100 g of…

Q: All edges of a cube are expanding at a rate of 7 cm per second. How fast is the surface area…

A: All edges of a cube are expanding at a rate of 7 cm per second. How fast is the surface area…

Q: The radius of a right circular cylinder is Increasing at the rate of 8in /sec. While the height is…

A:

Q: A container contains 80 liters of pure water. A brine solution with 2 kg/L of salt enter at 2 L/min,…

A:

Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is…

A:

Q: an open hemispherical container has radius 20 feet. honey begins flowing into the tank in such a way…

A: Let depth be h. Volume of the honey in the container is:  Also, radius of circular surface is:…

Q: A tank with capacity of 2000 litre originally contains 50 kg of sugar dissolved in pure water. Pure…

A: The initial amount of the sugar in the water is x (0) = 50 kg   The pure water is entering into the…

Q: All edges of a cube are expanding at a rate of 8 mm per hour. At what rate is the volume of the cube…

A:

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

A:

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

A:

Q: The radius of a particular circle increases at 1 millimeter each second. As a result, its area…

A: Solved below

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A: 1. givendrdt=0.1 cm/minr=8 cmdvdt=?volume of sphere (v)=43πr3diffrentiate with respect to…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per minute…

A:

Q: The radius of the circle is increasing at a rate of 1 meter per minute and the sides of the square…

A:

Q: All the edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume…

A:

Q: All edges of a cube are expanding at a rate of 7 cm per second. How fast is the surface area…

A: Given that all edges of a cube are expanding at a rate of 7 cm per second. Let the edge of a sphere…

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is the surface…

A: Since, we have been given that all edges of a cube are expandingat a rate of 8 centimeters per…

Q: The radius of the circle is decreasing at a rate of 5 meters per hour and the sides of the square…

A: Let a = side of the squre .       r = radius of the circleArea our side the circlebut inside the…

Q: All edges of a cube are expanding at a rate of 9 centimeters per second. How fast is the volume…

A:

Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

A:

Q: A tank shaped like a inverted right circular cone with radius 5 meters and height 15 meters is…

A: How fast is the water filled?

Q: As a balloon in the shape of a sphere is being blown up. the volume is increasing at the rate of 4…

A: Given that, Rate of increase of volume, dV/dt = 4 cu.in per sec Value of radius, r = 1 inch

Q: A process tank is being filled at a rate of 1200 GPM. If the tank is completely full, how much is…

A: In flow rate is 1200 GPM. Out flow rate is 320 GPM.

Q: (a) Water flows from a storage tank at a rate of 900 – 6t liters per minute. Find the amount of…

A: This question is related to calculus . solve in step 2.

Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: