A boundary stripe 3 in. wide is painted around a rectangle whose dimensions are 140 ft by 200 ft. Use differentials to approximate the number of square feet of paint in the stripe.  ft2

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Surface area of cylinder=2πr2+2πrl

Q: If the work required to stretch a spring 2 ft beyond its natural length is 12 ft-lb, how much work…

A:

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: Consider two containers which are in the shape of a cylinder.  Dimensions of container A: Diameter…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A:

Q: Suppose planet A’s diameter is approximately 6 times planet B’s and both bodies are spheres. What is…

A:

Q: nearest

A: Given Length of pipe = 25 ft Volume of pipe = 900 ft3

Q: A hose has a radius of approximately 0.5 in. and a lengthof approximately 20 ft. By what factor does…

A: Assume radius of the hose be r and length be l. Given, r=0.5 inches and l=20 ft

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A: To determine the amount of work required to pump all the water.

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: A solid has volume and surface area equal to 1200 cu.in and 800 sq. in, respectively. What is the…

A: For two similar solid ,Ratio of volume and surface area is always equal.we use this fact to solved…

Q: find the lateral area of a regular prism with height h if the base of the prism is a square with…

A:

Q: A paint company wants to change the height of its cans of paint to 15 centimeters tall so when the…

A:

Q: A cylinder has a base radius of 3cm and a height of 2cm. What is its volume in cubic cm, to the…

A: Volume of cylinder is pir^2h

Q: Sanford, a company that produces pencils, needs to know how much yellow paint to order for their…

A: Lateral surface area of a hexagonal prism is given by- A=6ah where a is face edge while h is height…

Q: A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the…

A: The solution is :

Q: A rectangular building is 15 m long by 11 m wide. A concrete path of constant width is laid all the…

A: A rectangular building is 15 m long by 11 m wide. A concrete path ofconstant width is laid all the…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: We find volume of both containers then find percentage

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A:

Q: 10 ft-lb of work is required to stretch a spring from its natural length of 12 inches to 36 inches.…

A: Let F be the force and K be the spring constant. If x is the change in length of the spring from its…

Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

A:

Q: A storage tank for butane gas is to be built in the shape of a right circular cylinder of altitude…

A: the volume of the cylinder is given by  v1=πr2h here we have  h=28 feet r=x v1=πx2·28 v1=28πx2

Q: Find the volume of a cone with a radius of 3 inches and a height of 7 inches in terms of T.

A: We have to find the volume of cone with given radius 3 inches and a height of 7 inches in terms of…

Q: The height of a cone is measured as 9.3 cm and the radius as 3.2 cm. Each measurement could be off…

A: Given: Let h and r be the height and radius of cone respectively. h=9.3 cmr=3.2 cm The maximum error…

Q: A hemispherical tank has a radius of 13ft. Given that the water weighs is 62.5lb/ft3, find the work…

A:

Q: A balloon 30.7 m in radius is to be filled with helium. How many m3 of helium are needed to fill it?

A:

Q: The volume of a cube is growing at a rate of 225 ft3/min, and the length of a side is 5 ft. What is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: a colony of 2 to the power 120 bacteria occupies a total volume of 1.3x10 to the power 15m cubed.…

A:

Q: A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of uniform width around…

A: Let x the width of the strip.L be the length of printed area and B be the breadth of the printed…

Q: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

A: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

Q: 3.The lateral area of a right circular cone is 386 square centimeters. If the diameter is one-half…

A:

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: The volume of a cone with height 49 cm, is 1848 cm'. Calculate the radius of the cone.

A: See the attachment

Q: A block of wood is 2.5 feet long, 0.5 feet wide, and 0.25 feet tall. It weighs 16.5 pounds. To the…

A:

Q: a square park of length 40 m has a concentric square with sides 35 m inside it find the cost of…

A: find the cost of cementing the space between them if the rate of cementing is rs 50 per sq m.

Q: A cylindrical pipe is 9 ft long and has a volume of 100 ft3. Find its approximate diameter to the…

A: Given that length of pipe is 9 ft. Volume of pipe is  100 ft3. We need to find the diameter of pipe.…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A:

Q: The radius of a circle is measured as 4.87 in., with a possible error of ±0.040 in. Estimate the…

A: Given: The radius of a circle is measured as 4.87 in., with a possible error of ±0.040 in.

Q: A steel column carrying a load of 10,000 pounds has a diameter if 10 inches. What is the pressure on…

A: Given,

Q: The curved surface area of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Find the ratio…

A:

Q: A Christmas ball of 3cm radius is to be partially covered with gold leaf so that the covered fringe…

A: We have to find the area of sphere to be painted

Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of…

A: We know that the for a cylinder with radius r and height h, Total surface area is 2πrr+h. Lateral…

Q: A train traveling up in inclined of 4° travels a horizontal distance of 4 km. how much altitude has…

A:

Q: A rectangular opening is 15 in. wide and 26 in. long. A strip of constant width is to be removed…

A: To solve the following problem.

Q: find the surface area of a cylinder whose height is 3 yd and radius is 8 yd. round to the nearest…

A:

Q: A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. Find the height and radius…

A:

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A:

Q: If. the.work.required to stretch a spring 3 ft beyond its natural length is 9 ft-lb, how much work…

A: We have the relation,   Work = ∫abfdx Where f is the force and dx is the distance. According to…

Q: A train traveling up an inc line of 4° travels a horizontal distance of 4 km. How much altitude has…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.