The volume of a cube decreases at a rate of 10 meters33 per second. Find the rate at which the side of the cube changes when the side of the cube is 3 meters

Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in…

A: Note: As there are two different questions in the picture we will solve the first question by…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

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

A: Consider the side of a cube which decreases at the rate of 9 m/sec. The objective of the problem is…

Q: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and…

A: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and…

Q: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

A:

Q: Find the approximate change in volume of a cube of side 'x' inches caused by increasing its sides by…

A:

Q: The sides of an equilateral triangle are increasing at a rate of 12 inches per minute. At what rate…

A: Area of equilateral triangle A=/--3/4 a2 Here a = side of the equilateral triangle Differentiate A…

Q: percentage of the total number of shafts will be tolerable?

A:

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: The volume of a cube is increasing at a rate of 60 in/sec. At what rate is the length of each edge…

A: The objective is to find the rate at which the length of each edge of the cube is changing when the…

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A: Given            The pressure at 70 feet=140

Q: A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x <…

A: It can go 600/x miles in 1 gallon. And cost  of 1 gallon is 2.80.So cost for (600/x) miles =…

Q: Many areas of Northern California depend on the snowpack of the Sierra Nevada mountain range for…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square…

A: Let,

Q: The side of a cube is increasing at a rate 7m/s, then the rate at which the volume of the cube…

A: Let s be the side of the cube in meter and V be the volume of the cube and t be the time in…

Q: The masses of two similar round mooncakes are 250 g and 54 g respectively.   If the mass of the…

A:

Q: The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1…

A:

Q: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

A: Topic = Volume

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: A clinical laboratory technician determines that a minimum of 75 mL of working reagent is needed for…

A: Given, reagent =75mL Mixture = 4x75 =300mL

Q: he radius of a right circular cylinder of height 16 inches and radius 4 inches decreases by 5 inch…

A: volume of the right circular cylinder is given byV=πr2hHere we have fixed height = 16 inches ,…

Q: The surface area of a cube is increasing at a rate of 349.9 cm/s. At what rate is the side length of…

A: We have to find the rate of change in side

Q: Water is flowinf 38 inches per second and at a rate of 1.125 cubic feet per second. What is the pipe…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Each side of a square is increasing at a rate of 6 cm/s. To determine the rate at which the area of…

Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

A:

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how…

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: A ballon has 4 moles of gas and occupies 50 L. What is the new volume if 2 moles of gas are added to…

A: Given data, Number of moles of gas, N = 4 The volume occupies by the Gas, V = 50 L.

Q: A bunch of hooligans dump 164 pounds of  pizza boxes into a lake. If the pizza boxes dissipates at a…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Given,                     Each side of a square is increasing at a rate of 6 cm/s. The area of the…

Q: A 2 lbs of salt was dissolved completely into 100 gallons of pure water. After an hour, a brine…

A: AS PER BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS…

Q: 10 liters per​ minute, how long will it take to fill the 3,400​-gallon ​pool?

A:

Q: About 27% of the body of a person floating in the Dead Sea will be above the water line. Assuming…

A: Mass= density× volume

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: The distance travelled by the pendulum in the first swing is d1=42 cm. The distance travelled in the…

Q: The side of a cube is increasing at a rate 7m/8, then the rate at which the m³/s. volume of the cube…

A:

Q: A conical tank 20 feet in diameter and 30 feet tall (with vertex down) leaks water at a rate of 5…

A: To find the rate of water

Q: What is the flushing time in days for an estuary that has a volume of 6x10^9 m^3 and discharge of…

A: Dividing the volume by discharge rate, answer is obtained

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

Q: A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with…

A: Given  The diameter of cylindrical vessel  dc=26 cm. The altitude of cylindrical vessel is H=500…

Q: A 3.5 cu. inches car air freshener is losing volume at a rate of 1% per day. Find the volume after…

A: If the initial amount of any substance is N0 and it is decreasing at the rate of a% then amount left…

Q: How many kilometers can a train moving at an average velocity of 25 m/s southwest be displaced in 2…

A: Given, average velocity of train = 25 m/s 2 hours = 2x60x60 = 7200 seconds

Q: A 120-gallon tank initially contains 80 lbs. of salt dissolve in 90 gal of water. Brinemcontaining…

A: Let xt be the amount of salt in tank at time t.  The amount of salt in is given by salt in=10 The…

Q: A weed killer is to be applied at a rate of two ounces per 1000gallons of water (2oz/1000gallons).…

A: GivenThe applied rate of a weed killer is 2 Oz/1000 gallons 28.375 mL per 1 Oz 4.5 liters per 1…

Q: Find the distance traveled in 15 seconds by an object traveling at a constant velocity of 20 feet…

A:

Q: One mole of gas expands isothermically to double its volume. If the gas temperature is 340 k what…

A:

Q: Suppose the length of a rectangular  solid increases by 15 percent, the width decreases by 25…

A: Consider l, w and h as the length, width and height of a rectangular solid.And consider the measure…

Q: A jet travels 4576 mi against a jetstream in 8 hours and  5696 mi with the jetstream in the same…

A: Let, the rate of the jet in still air is = x mi/hourAnd the rate of the jet stream = y mi/hour.Speed…

Q: A patient is drinking  0.6 pint of orange juice every two hours. At this rate, how many quarts of…

A:

Q: If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet…

A: applying the concet of projectile motion, using, height 'h' after t seconds is given by the…

Q: The side of a square sheet is increasing at rate of 4 cm per minute ,At what rate is the area…

A:

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.