) About how accurately must the interior diameter of a cylindrical storage tank that is 8 m high be measured in order to calculate the tank's volume within 0.5% of its true value?

Q: A certain bacterial cell is spherical in shape. What is the approximate increase in the volume of…

A: given initial radius r= 2.2 mm after increasing , radius = 2.3 mm change in radius ∆r = 2.3-2.2 =…

Q: A solid cylinder has a radius of 4 cm and a height of 10 cm. The cylinder is made from wood and has…

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Q: A closed cubical box of inner edge 8cm is to be made of tin 1mm thick. Find approximately the volume…

A: Volume of cube = a^3 Where, 'a' is the length of edge of cube.

Q: A hollow spherical steel shell is completely submerged in water. If the outer diameter is 60 cm and…

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Q: Suppose that the radius of the hut is increased by 2.5%. Calculate the following: (i) Percentage…

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Q: (1) What is the approximate volume of a thin cylindrical shell with height 2, radius 3, and…

A: Solution ) Volume of the cylinder    V = πx2h        x = radius         Differentiate with respect…

Q: . Find the rate at which the volume increases when the radius is 30 cm. (Hint: Volume 4 of the…

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Q: Suppose that r = 12 cm and h = 15 cm in the right circular cylinder. Find the exact and approximate…

A: In right circular cylinder   radius(r)=12 cm and height(h)=15 cm (a)  For lateral surface area…

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: A worker is constructing a cubical box that must contain 125 ft3, with an error of no more than 0.3…

A: Consider the given condition. A worker is constructing a cubical box that must contain 125 ft3, with…

Q: A company wants to manufacture cylindrical aluminum cans with a volume of 1000 cm3. What should be…

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Q: An icicle is gradually increasing in length, whilemaintaining a cone shape with a length 15 times…

A: It is given that an icicle is gradually increasing in length, while maintaining a cone shape with a…

Q: 6. Give formulas for the volume and the surface area of acone whose height h is three times its…

A: Given: The height of  cone is three times it's radius. Formula Used: Vol of cone=13πr2hSurface…

Q: A hemispherical tank of radius 6 feet is positioned as in the figure below. How much work is…

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Q: consider a right circular cylinder open top tin can volume 1000cm^3. suppose R and H are the base…

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Q: A circular swimming pool has a diameter of 6.4 m and is filled with water to a depth of 2.3 m. A…

A: Volume is the amount of space enclosed inside a solid. Volume of cylindrical body of radius and…

Q: A hollow sphere with an inner radius of 5cm and an outer radius of 6 cm is made of a material with a…

A: Mass of Hollow Sphere = 800.5 gram

Q: 2. What formula should be used to minimize the lateral surface area of a cone, where the volume of…

A: I am attaching image so that you understand each and every step.

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

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Q: 5. Suppose we measure the radius of a sphere as 10 cm with an accuracy of ± .5 cm. Use linear…

A: For the solution of the problem follow the next steps.

Q: How fast is the volume of the rind growing at the end of the fifth week?

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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: 2. The metal cylinder in Question #1 has a radius (r) = 1.05 cm and a height (h) = 3.32cm. (a)…

A: Given that the metal cylinder has a radius (r) = 1.05 cm and height (h) = 3.32 (a) To calculate…

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: Can i get help with this problem step by step

A: The surface area of the cube, S = 6x2 The volume of the cube, V = x3 We have given dS/dt = 72.

Q: V. A hemispherical basin of radius 4 ft contains liquid to a depth of 3 ft. If the liquid weighs 48…

A: This is a problem related to pumping volume of the spherical basin to the 3 ft above the container.…

Q: A cylindrical can, open at the top, is to hold 200 cm³ of liquid. Find the height, h, and the…

A: Consider the given: The given volume of the cylinder is 200 cubic cm. V=πr2h200=πr2hh=200πr2 Find…

Q: A frustum of a conical tank whose upper radius is 10 cm, lower radius of 8 cm and height of 12 cm is…

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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 conical tank with a height twice its diameter can hold water up to 1000 gal. A 2”-radius hole was…

A: Given: A conical tank with a height twice its diameter can hold water up to 1000 gal. A 2”-radius…

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: 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: 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: A cylindrical can, open at the top, is to hold 600 cm³ of liquid. Find the height, h, and the…

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Q: Find the radius ? and height ℎ of a cylindrical can of total surface area 110 cm2 whose volume is as…

A: NOTE: Refresh your page if you can't see any equations. . the surface area of the cylinder is given…

Q: A cylindrical thermos has a radius of 3 in. and is 12 in. high. How is the volume affected if all…

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Q: A circular swimming pool has a diameter of 24m, the sides are 5m high, and the depth of the water is…

A: Question is solved.

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 cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed.…

A: Given that area of the base of the cylindrical can is 75 cm² and the height of the can is 10 cm. 110…

Q: 1. The side of a cube increases at the rate of 12 m/sec. Find the rate at which the volume of the…

A: Our guidelines for multiple questions,answer only first question For other answers , Repost this…

Q: A pyramid-shaped vat has a square cross-section and stands on its tip. The dimensions at the top are…

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Q: An inverted conical tank has a top radius of 2m and a height of 8m and is completely filled with…

A: Given Inverted conical tank of radius 2cm height 8cm    Solution Volume of initially water…

Q: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep, is…

A: Given: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft…

Q: ie the total surfoce area of a Cylinder lfloor,ceiling an d lateral area to tal) is 300m unit…

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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 sphere of radius 5 cm is lowered into a rectangular tank 50 cm long and 20 cm wide containing…

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Q: My rock has a mass of 16 g and a volume of 2 cm2. What is it's density?

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

Q: A worker is constructing a cubical box that must contain 125 ft3 , with an error of no more than 0.3…

A: Given is a cubical box having volume 125ft3 Maximum error allowed is 0.3 ft3 To find tolerance level…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm?. suppose R and H are the…

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Q: A company manufactures cylindrical paint cans with open tops with a volume of 22,000 cubic…

A: This question is based on application of Derivative.

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.