The altitude of a certain right circular cone is the same as the radius of the base, and is measured as 10 inches with a possible error of 0.05 inch. Find approximately the percentage error in the calculated value of the volum

Q: The radius of a sphere was measured and found to be 5.0 cm with a possible error in measurement of…

A: Given: The radius of a sphere 5.0 cm with a possible error in measurement of at most 0.03 cm.  To…

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 radius of a sphere is measured and found to be 3 ft. with a maximum error of 0.1 in. Find the…

A: Volume of sphere =4/3pi r^3

Q: The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one…

A: *to find :  greatest volume of cone. *concept : for getting max volume we need to revolve triangle…

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: 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 radius of a sphere is measured and found to be 3 ft. with a maximum error of 0.1 in. Find the…

A: We use the formula of the volume of the sphere is 4/3πr3. And solve it . Follow 2nd step .

Q: The radius of a cell is measred to be 6 microns with anemor of plus of minus 0.5 microns.  What is…

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Q: If the height of a cylinder becomes 1/4 of the original height and the radius is doubled then find…

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Q: Determine the volume of a frustum of a cone if the diameter of the ends are 6 cm and 17 cm and its…

A: Determine the volume of a frustum of a cone if the diameter of the ends are 6 cm and 17 cm and its…

Q: A tank with rectangular base and sides and open at the top, is to be constructed so that its depth…

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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…

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Q: For a right circular cylinder of height 25 ft, the radius was measured as 20 ft with an error of…

A: the volume of the right cylinder is given by the formula, V=πr2h where r is the radius of the…

Q: If the cones below are similar, what is the ratio of the surface area of Cone A to the surface area…

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Q: The radius of a sphere was measured and found to be 6 cm with a possible error in measurement of at…

A: Let V be the volume and r be the radius of sphere

Q: 1.) The altitude of a certain right circular cone is the same as the radius of the base, and is…

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Q: Estimate the allowable percentage error in measuring the diameter D of a sphere if the volume is to…

A: It is given that , volume has to be calculated correctly to within 3%.

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

A:

Q: If the volume of the image of a shape is 160 and the volume of the pre-image of the shape is 20.…

A: If the volume of the image of a shape is 160 and the volume of the pre-image of the shape is 20.…

Q: 1. Find the EXACT lateral area, surface area and volume of a right cylinder with radius of 5 inches…

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Q: (a) The dimensions of the rectangular block are 10cm by 20cm by 15cm. with a possible error of 0.05…

A: We have to find (approximately) the greatest error in the surface area of the block and the…

Q: Suppose that the base of the square pyramid below has an area of 12 cm2 and that the altitude of the…

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Q: A cylinder has a height of 12 in. and a radius of 4 in. How can you change the radius of the…

A: Given the height of a cylinder h=12inch and radius of the cylinder r=4inch We need to find the…

Q: A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest…

A: Volume is the space covered by the object or any geometric figure in a three dimensional space. It…

Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

A:

Q: a. How accurately should you measure the edge of a cube to bereasonably sure of calculating the…

A: Answer : a) Let x be the edge of cube. Then the surface area is S = 6x2 Error in surface area = dS =…

Q: The altitude of a certain right circular cone is the same as the radius of the base, and is measured…

A: Suppose h be the altitude and r is the radius of the base of a right circular cone. Here, given that…

Q: A cone has a known height of 7.284 in.The radius of the base is measured as 1.09 in., with a…

A: A cone has a known height of 7.284 in.The radius of the base is measured as 1.09 in., with a…

Q: The volume of a sphere is to be computed from a measured value of its radius. Estimate the maximum…

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Q: Solid A is similar to Solid B. If the volume of Solid A is 3,240m^3 and the volume of Solid B is 15…

A: The answer is found in step-2

Q: If a closed tin can of volume 16? in3 is to be in the form of a right-circular cylinder, find the…

A: Consider the provided question, In your question given, If a closed tin can of volume 16? in3 to be…

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

A: The solution of the problem is given in the next step.

Q: 4. The volume of the fish tank needs to be tripled. 10 in 3 in 18 in What scale factor should be…

A: Given a fish tank whose volume has to be tripled. To find the scale factor

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose Rand H are the…

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Q: If 1200 cm² of material is available to make a box with a square base and an open top, hnd the…

A: Total area is given so first let the base length is a and height is h .. then make the relation of…

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…

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Q: 1. If the edge of a cube is 8 cm and increases by 0.1 cm, what is the approximate change in volume?

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Q: A company wishes to manufacture a box with a volume of 40 cubic feet that is open on top and is…

A: To find the width of the box that can be produced using the minimum amount of material.

Q: A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and…

A: Length of the long sheet L = 10'' Width of the long sheet W = 8'' The side of the square cutting…

Q: Given the area  in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

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Q: Given the area in the first quadrant bounded by y2 = x, the line x = 4, and the x-axis. What is the…

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Q: A cylindrical tank is designed to have a radius of 5 m and a height of 7 , but that the radius and…

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Q: a. About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be…

A: a.Calculate the radius of the tank can be given as,

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

A:

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

A:

Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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Q: A cone has a volume that is 350 cubic meters. What is the volume of a similar cone that is twice as…

A: Given, Volume of 1st cone = 350 cubic meters To find the volume of a similar cone that is twice as…

Q: A 20-ft by 30-ft swimming pool is filled with water. The depth is measured at 5-ft intervals,…

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