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

Q: 2). The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm.…

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Q: calculating the volume of the sphere

A: Given: A radius of a sphere is to be 3 cm with a possible error of 0.02 cm. Where, r=3 cm and…

Q: A tin can has a circular base of radius 2 inches and height of 6 inches. If the thickness of its…

A: We have to find the volume of tin can using differentials.

Q: The side of a square is measured to be 10 ft, with a possible error of +0.5 ft. Enter the exact…

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Q: the circumference of a sphere was measured to be 100 mm with a possible error of 0.4 cm. use the…

A: The circumference of a sphere with radius r is  given as C = 2 π r  and the surface area is given by…

Q: The side of a square is measured to be 5 ft, with a possible error of +0.4 ft. Enter the exact…

A: (a) The side of the square is 5ft error in measurement of the side is±0.4 ft. Area of the square is…

Q: Liquid feed at a rate of 8 L/min is introduced into a cylindrical tank with a bottom area of 335…

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Q: A tank initially contains 100 gal. gf salt solution, where 50 Ibs. of salt is added. Salt solution…

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Q: The edge of a cube was found to be 107 cm with a possible error in measurement of 0.03 cm. Use…

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Q: A right-circular cylinder has a height which is three times its diameter. The diameter of the…

A: Given, A right circular cylinder, Diameter,2r=8cm Radius,r=82=4cm Height=3(diameter) Height=32r=6r…

Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…

A: Let y=f(x) be a differential function.  differential dx  is an independent variable.  the…

Q: The side of a cube is measured with a possible percentage error of ±6%. Use differentials to…

A: Given- dss=±6% To find- The percentage error in the volume by differential method. Concept Used- Let…

Q: The possible error involved in measuring each dimension of a right circular cone is + inch. The…

A: The propagated error dV = V'(r)dr, here dr = +0.1 or -0.1 inch and r = 4 inches.

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.l cm. Use…

A: Let the edge of the cube be x= 30cm And given error in measurement of edge dx= 0.1cm a) Volume of…

Q: For a given triangle, side y is measured as 10 cm, the horizontal side x as 20 cm and the included…

A: Concept: Estimating error using differentials: ∂A=∂A∂a∂a+∂A∂b∂b+∂A∂θ∂θ Here A is the area of the…

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: side

A: Please refer to the image below

Q: The side of a microprocessor chip is measured as 0.9 cm, and later it is measured as 0.904 cm. What…

A: Solution:-

Q: A container contains 80 liters of pure water. A brine solution with 2 kg/L of salt enter at 2 L/min,…

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Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 30 cm high and…

A: Given a closed cylindrical can has height 30 cm and 6 cm is diameter. the metal in the top  and…

Q: The radius of a sphere is given as 27 cm with a maximum error in measurement of .05 cm. Use…

A: From the given data:Radius of the sphere r=25cmMaximum error in radius of the sphere Δrr=0.05…

Q: The diameter of a circular disk is measured as 30 cm with a maximum error in measurement of 0.2 cm.…

A: Given that :- Diameter = 30 cm , error = 0.2cm Area of circular disk = πr2 . Where ( r = d/2) So ,…

Q: 2. The radius and lateral area of a right circular cylinder change at the rates of 1 cm/s and -2…

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Q: The side of a square is measured to be 40 ft, with a possible error of +0.2 ft. Enter the exact…

A: The side of a square is 40 ft., with a possible error of ±0.2 ft.

Q: a hemischperical dome has a diameter of 50 m. use differentials to estimate the amount of paint…

A: the problem concerns an application of differentials

Q: A box with a square base has the sides of the base increasing at  6 m/sec and the height of the box…

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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: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 11…

A: Let r and h be radius and height of tin can Then r varies from 4 cm to 4.04 cm and height changes…

Q: One side of a right triangle is known to be 26 cm exactly. The angle opposite to this side is…

A: GIVEN: One side of a right triangle is known to be 26 cm exactly. The angle opposite to this side is…

Q: 2. The side of a square is measured to be 10 ft with a possible error of +/- 0.1 ft. A. Use…

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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: A painting contractor charges Php 120 per sq.m. for painting the four walls and ceiling of a room.…

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Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

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

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Q: the radius of a circular manhole cover is estimated to be 16 inch with a maximum error in…

A: The radius of the circular cover is given as, r=16 inch The error in the radius is given as, ∆r=0.06…

Q: Use differentials to estimate the amount of paint needed (in m³) to apply a coat of paint 0.07 cm…

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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: There's a tank containing 50 L of a solution into which 10 g of salt is dissolved in. A solution…

A: image is attached

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: Mrs. Santa has a ball of cheese wrapped in red wax and decided to cut in half, to share with her…

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Q: Use differentials to estimate the amount of paint needed toapply a coat of paint 0.05 cm thick to a…

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Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use…

A: The given data is: Edge of the cube x=15 cmPossible error dx=0.2 cm

Q: The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm. Use…

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Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 12 cm and height…

A: The volume of a cylinder is given by the expression . Thus the volume of a thin cylinder is obtained…

Q: measurement of .1 cm. Use differentials to estimate the percentage error (to the nearest hundredth)…

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Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20…

A: Since volume is a function of both radius and height, therefore we will use method of partial…

Q: A tank contains 1800 liters (L) of fluid in which 180 grams (g) of salt is dissolved. Solution…

A: Given that  Tank contains 1800 litres of water Salt 180 grams was mixed Rate of flow for inlet is 30…

Q: The radius of a circular disk is given as 28 cm with a maximum error in measurement of 0.2 cm. Use…

A: Write the expression for the area of the circle and take the derivative.

Q: radius of a circular disk is given by 18cm. with maximum error in measurement of 0.1cm. Use…

A: Given radius of circle is r= 18 cm. Maximum error in measurement of radius, dr= 0.1 cm.

Q: Water flows into an empty reservoir at a rate of 2200+10t gal/hour . What is the quantity of water…

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