Suppose that an initially full hemispherical water tank of radius 1 m has its flat side as its bottom. It has a bottom hole of radius 1 cm. If this bottom hole is opened at 1 P.M., when will the tank be empty?

Q: 4. A gutter having a triangular cross-section is to be made by bending a strip of tin in the middle.…

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Q: A cylindrical tank of radius 5 ft and h.

A: Given, a cylindrical tank of radius 5 ft and height 6 ft is two-thirds filledwith water.

Q: A ball of radius 1 is contained in a right circular cone. Find the snallest possible surtace area of…

A: Given : A right circular cone with :radius=r , and height=hA ball of radius=1 kept inside the…

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Q: In order to kill a bird 20m up in the air, a boy uses his catapult to shoot a pebble vertically…

A: given that  bird is at h=20m up in the air. a boy uses his catapult to shoot a pebble vertically…

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Q: What are the dimensions of the lightest open-top right circular cylindrical can that will hold a…

A: Here volume of the can is equal to the volume of the cylinder. So volume of the can can be expressed…

Q: How far from its center should a grapefruit with a 5-inch diameter be sliced in order that both…

A: We have given

Q: 2. A gutter having a triangular cross-section is to be made by bending a strip of tin in the middle.…

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Q: 9. A cylindrical tank of height 10 m and radius 3 m is full of water. How much work is required to…

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Q: You are to construct an open rectangular box from 12 ft2 of mate-rial. What dimensions will result…

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Q: A cylindrical tank that is 8 meters deep is half full of water and has a radius of 2 meters. Find…

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Q: An inverted cone (base above the vertex) is 2 m high and has a base radius of 1 /2 m. If the tank is…

A: Given, an inverted cone is 2 m high and has a base radius of ½ m. If the tank is full, then how much…

Q: A cylindrical can without a top is made to contain 381 in³ of liquid. Find the dimensions that will…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A railroad rail is I kilometer long and it expands on a hot day 10 centimeters in length.…

A: please see the next step for solution

Q: A hemispherical tank has a radius of 13ft. Given that the water weighs is 62.5lb/ft3, find the work…

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Q: Suppose that a cylindrical tank has height 10 m, the radius of the base is 7 m, and it is…

A: To calculate the amount of work done required to move the water out of the top of the cylindrical…

Q: A 160-lb man carries a 25-lb can of paint up a helical staircase that encircles a silo with a radius…

A: Force of gravity on man = 160 lb Force of gravity on can = 25 lb Height of silo = 90 ft

Q: In constructing an open rectangular box from 192 ft? of material, what dimensions will result in a…

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Q: 11) A cone with radius 6cm and height 12cm is filled to capacity with liquid. Find the minimum…

A: To hold the same amount of liquid, the cylinder and cone should have same volume. Here the radius…

Q: A cylindrical water tank 8 meters high with a radius of 2 meters is burjed so that the top of the…

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Q: A solid cone of butter with radius 3cm and height 4cm is melted down and poured into a cylindircal…

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Q: Suppose that for the tank in Exercise 23 the pump breaks down after 4.7 X 10° J of work has been…

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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: The cylindrical tank shown in the accompanying figure is filled with a liquid weighing 50 lb/ft³.…

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Q: 1. The volume of the closed cylindrical tank is 11.3 m³. If the total surface area is a minimum,…

A: Surface area and Volume of a cylinder: The amount of space covered by the flat surface of the…

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: Show that it is not possible to design a cylindrical can (with top and bottom) of volume 400 cubic…

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Q: The maximum tension that can be developed in the cord shown in Fig. 8–19a is 500 N. If the pulley at…

A: Given : the maximum tension that can be developed in the cord = 500N A is  the free to rotate and…

Q: 4. A vertical right circular cylindrical tank measures 24 ft high and is 8 ft in diameter. It is…

A: Given:The height of the right circular cylindrical tank is 24 ft and diameter is 8 ft. It is full of…

Q: A cylindrical water tank has a height of 6m and a radius of 4m. How much work is required to empty…

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Q: Suppose that a cylindrical tank initially containing Vo gal- Use Torricelli's law to show that the…

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Q: 6. A regular pentagonal prism with base perimeter of 20 cm and height of 10 cm is made of wax. If it…

A: Given:   Perimeter = 20 cm     Height = 10 cm

Q: A gutter having a triangular cross-section is to be made by bending a strip of tin in the middle.…

A: In this we have to find the area formula with the angle thetha then the find the value of thetha for…

Q: A regular pentagonal prism with base perimeter of 20 cm and height of 10 cm is made of wax. If it is…

A: Given that: A pentagonal prism with perimeter=20cmHeight=10 cm

Q: What radius (r) and height (h) of a cylindrical can holding 1L of oil that minimizes the  cost of…

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Q: A truck has to pass under an overhead parabolic arc bridge which has a span of 20 meters and is 16…

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Q: We wish to empty a hemispherical tank full of water out the top. Which should entail the larger…

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Q: A cylindrical tank with length 5 ft and radius 3 ft is sit- uated with its axis horizontal. If a…

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Q: Suppose a 4-m cylindrical bar has a constant density of 5 g/cm for its left half and a constant…

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Q: A closed box with a square base is to be built and the volume fixed at 30 m3. Determine the minimum…

A: To determine the minimum cost of the box.

Q: The volume of the closed cylindrical tank is 11.3 m³. If the total surface area is a minimum, what…

A: In this question, concept of volume and surface area of cylinder is used. Volume and Surface area of…

Q: A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be filled with water. If a If…

A: Given: The radius of the cylindrical tank (r)=0.75 meters The height of the cylindrical tank (h)=…

Q: Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What…

A: This question is based on mensuration problem.

Q: A cylindrical tank, shown to the right, has height 8 m and radius 3 m. Suppose the water tank is…

A: Here, the density of water  ρ=1000 kg/m3&g=9.8 m/s2 Here, the radius of the cylindrical tank is…

Q: If a cone has a SA (Surface Area) of 25 and its dimensions are doubled what is the new SA?

A: The surface area of a cone is given by the expression A=πrr+h2+r2. Here, r is the radius of the cone…

Q: 7. A hemispherical tank with a radius of 6 ft is filled with water to a depth of 4 ft. Find the work…

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Q: 2. A single-lane street 10ft wide goes through a semicircular tunnel with radius 9ft. How high is…

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Q: 3. A railroad rail is 1 kilometer long and it expands on a hot day 10 centimeters in length.…

A: Consider the following figure For a small angle x in radians tanx≈sinx≃x Use this to create an…

Q: A spherical water tank has a radius of 31 feet is being replaced with a cylinder tank with the same…

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