The base radius r and height h of a right circular cone is measured as 5 inches and 10 inches, respectively. There is a possible error of 1/16 inch for each measurement. Use differentials to approximate the error in the computed volume of the cone.

Q: The base radius and height of a right circular cone are measured as 10 cm and 25 cm, respectively,…

A: Given formula for the volume of the cone is V=πr2h3 Now, the total differential of V can be…

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Q: A closed cylindrical tank of circular cross-section has a radius of 2 ft. and a height of 6 ft. Use…

A: Radius = 2 ft Height = 6 ft dr = 1 inchdr =112 ftdh = 1 + 1 (top+bottom)dh = 2 inchdh = 212 ft

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A: Let  r  and h be the radius and height of the cylinder .Then the volume of the cylinder  V(r,h) =…

Q: A closed cylindrical tank of circular cross-section has a radius of 2 ft. and a height of 6 ft. Use…

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Q: The radius of a ball is claimed to be 4.5 inches, with a possible error of 0.05 inch. Use…

A: Given that,radius (r) = 4.5 inches, dr=0.05Surface area of ball is A = 4πr2= 4π(4.5)2 =4π x(20.25)A…

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Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error…

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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…

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Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: The solution are next step

Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

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Q: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When…

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A: We need to choose correct option.

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: Given: The edge of a cube, x=30 cm The error in measurement, ∆x=0.1 cm

Q: Use differentials to determine the approximate area, dA, of a circular ring which has an inside…

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Q: A spherical ball is measured to have a radius of 6 cm with a possible measurement error of ±0.1rmcm.…

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Q: Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm. Use…

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Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

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Q: 8. Use differentials to approximate the change in the volume of a cylinder if the height is…

A: Let's find.

Q: The dimensions of a closed rectangular box are measured as 97 cm, 60 cm, and 30 cm, respectively,…

A: Let the dimensions of the box be l, w and h (for length, width and height).Surface area of the box…

Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm. By the…

A: The radius of a circular disk is measured as 24cm with a maximum error of 0.2 cm.

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: The thickness of the shell is a = 0.5 centimeter. Use differentials to approximate the volume of the…

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of.1 cm. Use…

A: Consider the edge length of the cube is a , so the volume of the cube is: V=a3 The surface area of…

Q: The base radius and height of a right circular cone are measured as 10cm and 25cm, respectively,…

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Q: The dimensions of a closed rectangular box are measured as 88 cm, 53 cm, and 32 cm, respectively,…

A: Given: The dimensions of closed rectangular box is : =88cm×53cm×32cm

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Q: A cube with sides 14 inches long is covered with a coat of fiberglass 0.4 inch thick. Use…

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Q: The measurement of the radius of the end of a log is found to be 17 inches, with a possible error of…

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Q: The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement…

A: Due to our guidelines I am solving only first problem  The radius of circular manhole r = 16 in

Q: While measuring the side of a cube, the percentage error incurred was 3%. Using differentials,…

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Q: the outside diameter of a thin spherical shell is 12 ft. If the shell is 0.3 inch thick, use…

A: Volume of a sphere with radius r is V=43πr3

Q: For the volume or a cylinder V = RR*H Find the total differential dV

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Q: The measurement of the radius of the end of a log is found to be 5 inches, with a possible error of…

A: Given : Radius of end of log is 5 inches. Possible error ½ inches The end of log is in the shape of…

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Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the…

A: Given: length,h=20 cmd=6 cmdr=0.001dV=?

Q: A goldsmith is tasked to coat a closed rectangular box with gold 0.1 cm thick. The height of the box…

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Q: Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm. a) use…

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use…

A: Topic = Derivative

Q: The radius of a spherical ballon is measured to be 10 inches, with a possible error of 0.04 inch.Use…

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Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: (a).            Volume of cube :                       V  =  x3                      dV  =  3 x2…

Q: The thickness of the shell is a = 0.5 centimeter. Use differentials to approximate the volume of the…

A: Given:        a=0.5 cm       r=100cm     Volume of shell V=43πr3     differentiating on both sides…

Q: A sphere is measured and the radius is 5 inches with a possible error of at most 0.02 inches.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 3 inch(es) per…

A: Given: The radius of the spherical snowball is shrinking 3 inches in a hour.To find the numerical…