A worker is cutting a square from a piece of sheetmetal. The specifications call for an area that is 16 cm2with an error of no more than 0.01 cm2 . How much error could be toler-ated in the length of each side to ensure that the area is within the tolerance?

Q: A can of corn is 4 inches tall, and the diameter of the can is 2- inches. Ignoring the overlap vhere…

A: Given that: Height of corn can, h=4 inDiameter of can, d=278 in

Q: A carbon nanotube is a thin cylinder of carbon atoms that, pound for pound, is stronger than steel…

A: Given: A carbon nanotube is a thin cylinder of carbon atoms that, pound for pound, is stronger than…

Q: A paint manufacturer desires a cylindrical steel drum to hold 50gal. of roof paint. For convenience…

A: A paint manufacturer desires a cylindrical steel drum to hold 50gal. of roof paint. For convenience…

Q: The widths (in meters) of a kidney-shaped swimming poolwere measured at 2-meter intervals as…

A:

Q: The edge of a cube was founa to be 30 cm with a possible error in measurement of Icm. Use…

A: Let x be the length of the edge of the cube. Given that, x=30 cm & ∆x=0.1 cm a). Consider the…

Q: The tin can shown at the right has +1½ in.- the indicated dimensions. Estimate the number of square…

A: The cylindrical tin can has radius 1.5 in. and height 4.5 in. The figure is given below:

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: GivenRectangular piece of cardboard width (b)=18 inchesRectangular piece of cardboard length (l)=20…

Q: An orange has a volume of about 113.1 cm. What is the area of the cross section when it is cut in…

A:

Q: The radius of a sphere was measured and found to be 3 ft with a maximum error of 0.1 inches. Find…

A: Given r=3ft=36inches  dr=0.1

Q: What is the largest tolerable error in the 20 cm edge length of a cubical cardboard box if the…

A:

Q: A square has an edge of 9.2 in., with a possible error in the measurement of ± 0.04 in. Estimate the…

A: square has an edge of 9.2 inches error in the measurement of ± 0.04 inch

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as…

A: As we know that the Simpson's rule: ∫x0xnydx=h3y0+yn+4y1+y3+y5+...+2y2+y4+y6+.... Where: ''h'' is…

Q: Find the volume of a square pyramid with a height of 11 m and base edges of 9 m. V = m3 (Round to…

A: To find: The volume of square pyramid. Given: The height of the pyramid is 11 m and base edges of 9…

Q: A rectangular wooden chopping board is advertised as being 17cm by 25 cm, each side measured to the…

A: (a) Consider the rectangular wooden chopping board,   it can be observed that the longer side is of…

Q: The dimensions of a rectangle are measured to be 8 ± 0.1 by 4 ± 0.2 inches. What is the approximate…

A:

Q: What is the relative eror in the total surface area of a cube of edge 3 feet if an error of nch is…

A: To find the relative error in the total surface area of a cube of edge 3 feet, if an error of 12…

Q: It has been determined that a 768 sq ft house would require a 5-ton airconditioner. For this same…

A:

Q: 3. What is the approximate error and percentage error in the total surface area of a cube of e dge…

A:

Q: Find the volume of a square pyramid with a height of 12 m and base edges of 6 m. V = m3 (Round to…

A: The objective is to find the volume of the given square pyramid

Q: A rectangular metal duct has a width of 9.0 in. If the area of a cross section is 162 in2, what is…

A: The area A of a rectangle with sides a and b is given by, A=a×b The perimeter P of a rectangle with…

Q: The total surface area of a window is 2030 in2. Use the fact that 1 in=2.54 cm to convert this area…

A: Given that 1 in = 2.54 cm Therefore 1in^2=(2.54)^2 cm^2                  1in^2 =6.4516cm^2

Q: The radius and height of a right circular cone are measured with errors at most 3% and 2%…

A: Here, the given errors are: ∆rr×100=3,∆hh×100=2⇒∆rr=0.03,∆hh=0.02

Q: What is the approximate error in the volume and surface area of a cube of edge 5cm if an error of…

A: Error in volume and surface area

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A:

Q: What is the surface area of the cylinder with a height of 8cm and a radius of 7?(Dont forget to…

A: To find the surface area of cylinder

Q: A spherical shell 10cm thick has an outer diamter of 50cm. The sphere was melted and recast into a…

A:

Q: Two square base pyramids measures 6 cm whereas the of the second pyramid mea Calculate the total…

A: Given data is ,      Side of first pyramid base x=6cm Side of second pyramid base y=4cm Let the…

Q: In a measurement of a cylindrical shaft , an error in its diameter of 3% was made .Find the…

A: First write the formula for weight of the cylinder than calculate the error.

Q: Find the lateral surface area of the cylinder. Round your answer to the nearest tenth. 9 in. 4 in.

A:

Q: How accurately should you measure the edge of a cube to be reasonably sure of calculating the cube’s…

A: The error should not be more than 2%.

Q: If the edge of a cube is 8 cm and increases by 0.1 cm, what is the approximate change in volume?

A: edge of a cube=8cm  volume of cube =(edge of a cube)3  volume of cube=(8)3  volume=512 cm3

Q: A large pinecone has a spiral that is 144 units in length, while a smaller pinecone has a spiral…

A:

Q: heigh

A: We have a right circular cone with height 6.8cm and radius is 3.32=1.65cm. This cone is inverted…

Q: Find the volume of the figure when d = 4 cm. For calculations involving ?, give both the exact value…

A:

Q: Find the surface area of the composite figure to the nearest tenth. 1 in. 12 in. -6 in.- Show Your…

A:

Q: What is the surface area of the cylinder with 2m and 7 m round your awnser to the nearest…

A: Given,    Cylinder with radius 7m and height 2m.   Surface area of cylinder is 2πr(r+h) ; where r is…

Q: A Normal window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the…

A:

Q: 1) The Betty Moore Company requires that its beef stew containers have a capacity of 64 in3., have…

A: Given is the volume v=64 Constraint:  πr2h=64h=64πr2 where r is the radius and h is the height…

Q: A paint manufacturer desires a cylindrical steel drum to hold 50 gal. of roof paint. For convenience…

A: To determine the height of the cylinder which can hold a volume of 50 gal , first lets convert the…

Q: A sheet of glass has a density of 2.5- cm3 kg What is the density of the glass in m3 kg m3 Show…

A:

Q: Starting with a 20-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: Introduction: Consider the function f ( x ) with one variable. Using derivatives, the function…

Q: A cube 4 in. on an edge is given a pro-tective coating 0.1 in. thick. About how much coating should…

A: Given cube of side=4 in. Protective coating thickness=0.1 in. To find coating volume for 1000 cubes

Q: The tin can shown at the right has the indicated dimensions. Estimate --1% in. the number of square…

A: Tin can has shown the dimensions     We have to calculate the number of square inches of tin…

Q: At average rates, how long would it take to completely remove 15 cm of soil? 8.

A: Given-    Average rate of cropland  erosion =6mm decade         Average rate of soil formation…

Q: A conical cup has a diameter of 10 cm and a depth of 12 cm. It is filled to 8 cm. What percentage of…

A: Note the formula : Volume of cone is 13πr2h where r  is radius of base circle of cone and h is the…

Q: 3. Is there a difference between the values of the ideal diameter and the actual diameter? Why?

A: 3 We have to write the difference between the values  of the ideal diameter and the actual diameter,…