the radius of a sphere is found to be 22 cm in length with a possible error of more than 0.07 cm. what is the maximum possible error in the volume of the sphere if we use this value of the radius to complete the volume?

Q: An open top box is to have a square base and and a volume of 13500 centimeter cube. Find the…

A: in a cube each face is square volume of cube =(side)3

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: What is the longest dimension of an open top rectangular box of greatest volume that can be…

A:

Q: What value of x maximizes the volume of an open box with a square bottom, where the surface area of…

A: The Volume of an open box with a square bottom x length and h height is given by V = x2h…

Q: A delivery company accepts only rectangular boxes the sum of whose length and girth (perimeter of a…

A:

Q: Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds…

A: Given  that length is three times as long as width so let width be x then length will be 3x  let…

Q: A wire of length 10 cm is divided into two parts which are bend in the form of  a  rectangle if it…

A:

Q: A rectangular square-based open-top container is to be made so as the surface area equals 24 m2.…

A: let the dimensions of container according to question are :lengh=a,width=a, and height =hsurface…

Q: An open box is to be made from a 21 ft by 56 ft rectangular piece of sheet metal by cutting out…

A:

Q: find the maximum valume of a cone given that the sum of the radius and height of the cone is 15 cm.

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Q: A square piece of cardboard of side a is used to make an open-top box by cutting out a small square…

A: Since, a square piece of cardboard of side 'a' is used to make an open-top box by cutting out a…

Q: a box with a square base and an open top must have a volume of 4000 cm^3. find the dimensions of the…

A: Let the length of each side of the base= x Height=y So

Q: An open-top bin is to be made from a 15-centimeter by 40-centimeter piece of plastic by removing a…

A: A piece of plastic is 15 cm by 40 cm. Let the square piece be cut of side ‘a’ at each corner of the…

Q: You are to construct an open rectangular box from 12 ft2 of material. What dimensions will result in…

A:

Q: Find the maximum volume of a cylindrical soda can such that the sum of its height and its…

A: we have to find the maximum volume of a cylindrical soda can such that the sum of its height and its…

Q: is this question talking about a rectangle within a rectangle?

A: Find the dimensions for the whole poster.

Q: A cylinder has a height 15 cm with a possible error of 0.01 cm. Find the maximum possible value of…

A: To Determine: A cylinder has a height 15 cm with a possible error of 0.01 cm. Find the maximum…

Q: An open-top box is to be made from a 36 in. by 27 in. piece of cardboard by removing a square from…

A:

Q: Your client wants you to construct a rectangular family pool in front of the house with perimeter of…

A:

Q: An open-top bin is to be made from a 15-centimeter by a 40-centimeter piece of plastic by removing a…

A: Assume that side of square which should be cut from each corner is a.Given the dimension of piece of…

Q: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

A: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

Q: A cylinder with a radius of 3 and a height that is 5 times the radius.

A: Radius = 3 , Height =3×5= 15Lateral surface area is thre area of sides excluding area of the…

Q: A box with a square base and open top must have a volume of4000 cm^3. Find the dimensions of the box…

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Q: we have 27ft squared of material to build a box of maximum volume with a square base and no top.…

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Q: An open box will be made by cutting a square from each corner of a 10-cm by 16-cm piece of cardboard…

A: To find: The size of square to be cut from the corner of cardboard to maximize volume and also find…

Q: Suppose that the radius and height of a cylinder must add to be 15 cm. What radius and height will…

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Q: An open box is to be made from a 33 ft by 88 ft rectangular piece of sheet metal by cutting out…

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Q: с. How should the fencing be used to get the maximum possible area? How much area will the chickens…

A: Given that Total length of fencing wire is 100 ft to build the chicken coop. Since  marissa has to…

Q: An open box is to be made from a 3-ft by an 8-ft rectangular piece of sheet metal by cutting out…

A: An open box is to be made from a 3-ft by an 8-ft rectangular piece of sheet metal by cutting out…

Q: an upright cylinder with a base radius of 5cm and a height of 10cm has a possible error of 0.08cm…

A:

Q: An open-top crate is to be constructed with 54 ft2 of material available to use. The length of its…

A: Let width = x So, length = 2xLet height = hVolume of the crate = V = (x)(2x)(h)= 2hx^2

Q: from a piece of cardboard that is 24 cm by 48 cm ,cut equal squares out of the corners . fold up the…

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Q: A box with an open top is to be constructed from a square piece of cardboard that is 4 feet wide by…

A: Square piece of cardboard of 4 feet wide. Let x feet be cut off from each corner of the square piece…

Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: The radius of a sphere was measured and found to be 21 cm with a possible error in measurement of at…

A: The surface area of the sphere is given by the formula A = 4πr2, where r is the radius

Q: The total surface area of an industrial cylindrical autociave is to be limited to 20m2. If it is…

A:

Q: A box with an open top and square base is to be created with a surface area of 300 square inches.…

A: The box is open  And base is square  Let square sides l = b = x in And height  =h in

Q: An open-top rectangular box is being constructed to hold a volume of 350 in. The base of the box is…

A: Given :  an open top rectangular box is being constructed to hold a volume of 350 in3, the base of…

Q: A company wishes to manufacture a box with a volume of 20 cubic feet that is open on top and is…

A:

Q: The volume of a box without a top is 36 m3, where the length is twice of width. Find the dimensions…

A:

Q: The cost of producing an ordinary cylindrical tin can is determined by the materials used for the…

A: Given:       Volume =1000 cm3       Volume of cylindrical tin V=πr2h      then,            πr2h=1000…

Q: A parcel delivery service will deliver a package only if the length plus the girth (distance around,…

A: Let the side of the rectangular box is l, b and h.  Maximum possible dimension is  2l + 2b + h = 108…

Q: A company wishes to manufacture an open top box with volume 56 cubic feet, and it is twice as long…

A:

Q: A farmer wants to make a rectangluar enclosure using a wall of a barn as one side and 160 ft of…

A: Let x ,in feet, be the length of side of rectangular enclosure which is along the wall of barn and y…

Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins. What should…

A: Use application of derivative concept. volume of cylinder and total surface area of cylinder…

Q: An open box is to be made from a square piece of material by cutting equal squares from each corner…

A:

Q: A open-top box is to be made from a 24 in by 36 in piece of cardboard by removing a square from each…

A:

Q: A farmer wishes to fence off a rectangular sheep pen and uses all of 100 m of fencing. An adjoining…

A: A farmer wishes to fence off a rectangular sheep pen and uses all of 100 m of fencing. An adjoining…

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A: Given A rectangular building is to be built on a triangular corner lot with the perpendicular sides…

Q: A rectangular tank that is 1372 ft° with a square base and open top is to be constructed of sheet…

A: The tank with minimum weight is the one with minimum surface area. Since the base is square, its…