The tank is full of water. Find the work required to pump the water out of the spout. Water weighs 62.5 lb/ft^3.

Q: A cubical crystal is growing in size. Find the approx-imate change in the length of a side when the…

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Q: © Tategrate 12 dx 3.

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Q: The lateral area of a right circular cone is 386 square centimeters. If the diameter is one-half its…

A: Image is attached with detailed explanation.

Q: Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show…

A: Given:Perimeter of a rectangle is 68 m.

Q: The volume of a cylinder is 20 cubic inches. If the radius of the bases of the cylinders is tripled,…

A: Given that,  Volume of a cylinder = 20 cubic inches The radius of the bases were tripled.  To find…

Q: A bar with a length of 7 inches is stretched to 7.1 inches. What is the strain in the bar?

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Q: An open top box will be prepared by removing squares from each corner of the piece of cardboard with…

A: Let x be the side of square Then remaining dimensions of cuboid for volume is  We known,  Length =…

Q: A rectangular box having a square base and open at the top is to have a capacity of 16,823 cubic…

A: suppose the side of the box = x cm.height= h cm.Given : Volume  = 16823 cc

Q: Find the approximate change in volume of a cube of side 'x' inches caused by increasing its sides by…

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Q: The volume of an open-topped box with a square base is 245 cubic centimeters. Find the height, in…

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Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: A metal cylindrical container with an open top is to hold one cubic foot. If there is no waste in…

A: Given: Volume = 1 cubic foot

Q: Find the area of the largest rectangular field that can be enclosed with 600 m of fencing. Assume…

A: Perimeter without one side length =600m

Q: Find the most economical proportion of a circular cylindrical can with top whose capacity is 1287…

A: We have to find the most economical proportion of a circular cylindrical can with top.

Q: you have been asked to design 2000 cm cube can shaped like a right circular cylinder. What…

A: Sol :-          Given volume = 2000cm3                            V=πr2h = 2000…

Q: A force of 2 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How…

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Q: A rectangular solid has a volume of 24 cubic decimeters . the length width and height are all…

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Q: The wheel of the car of diameter 80 cm each,how any complete revolutions does each wheel in 10 mnts…

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Q: A can in the shape of a right circular cylinder is required to have a volume of 500 cubic…

A: The radius= r Height= h So the volume is:  V=πr2h500=πr2hFrom here we get:h=500πr2

Q: ) A company manufactures cylindrical metal drums with open tops with a volume of lcubicmeter. What…

A: Given that volume=V=1m3what should be the dimensions of the drum in order to use the least amount…

Q: At the 2012 Busan Open Challenger Tennis Tournament is Busan, South Korea, the Australian Samuel…

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Q: As an engineer, you need to design the cable supporting the bridge deck. An initial analysis shows…

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Q: A manufacturer wants to design an open box having a square base and a surface area of 244 square…

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Q: Suppose a 5 pint container of a certain fluid weighs 8.8 pounds. Use dimensional analysis to…

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Q: Find the dimensions of the right circular cylinder of greatest volum that can be inscribed in a…

A: Given query is to find the dimensions of a right circular cylinder that can be fit inside a sphere…

Q: A rectangular water-tank has length of 50 m, width of 34 m and height of 24 m. Calculate the total…

A: A rectangular water tank has a length of 50 m, a width of 34 m, and a height of 24 m. Then we have…

Q: Find the height of a storage tank in the shape of a right circular cylinder that has a circumference…

A: The storage tank is cylindrical in shape. Let r be the radius of circular base and h be the height…

Q: A 200-foot cable weighing 4 pounds per foot is hanging from a winch 200 feet above ground level.…

A: We have to find the work done.

Q: Determine the dimension of a rectanglular solid with a square base with a maximum volume of its…

A: Volume V=x2y Surface area=2x2+4xy

Q: The dimensions of a storage shed under the rafters are 500.00 + 0.03 ft long, 50.00 + 0.02 ft wide,…

A: Please check step 2 for the solution.

Q: One common matchbox is 13.44 cm long, 5.920 cm wide, and 2.54 cm deep.  Assume that the matchbox is…

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Q: If the ocean is opening at a rate of 3 cm/year., how wide will the ocean be in 100 million years in…

A: If the ocean is opening at a rate of 3 cm/year, then we have to find how much wide will the ocean be…

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

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Q: Find the cost of fencing a rectangular park 300 m long and 200 m wide at the rate of $4 per metre

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Q: Consider a 30-foot chain that weighs 6 pounds per foot hanging from a winch 30 feet above ground…

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Q: A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of…

A: Given that, volume of the cylindrical container is 84 cubic inches and radius is 3 inches. It is…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: The distance travelled by the pendulum in the first swing is d1=42 cm. The distance travelled in the…

Q: determine the dimensions of a rectangular tank open at top having the volume of 108 cm^3 and…

A: Finding the dimensions of the box using the given conditions

Q: A company manufactures cylindrical metal drums with open tops with a volume of lcubicmeter. What…

A: Let the radius of the cylinder is =r and the height of the cylinder is =h The volume of the cylinder…

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We have to find the largest possible volume of the box.

Q: A force of 2 pounds is required to hold a spring streched 0.6 feet beyond its natural length. How…

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Q: A concrete slab consists of a rectangle 37' by 34' with a uniform thickness of 2'. What is the cost…

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Q: A 150-foot cable weighing 4 pounds per foot hangs vertically from the top of a very tall building.…

A: Given the density of the cable is 4 lb per foot and the cable length is 150 foot Let dx be the…

Q: . A box with a square base and open top must have a volumeof 32,000 cm cu .  . Find the dimensions…

A: To Determine: Find the dimensions of the box that minimize the amount of material used Given: A box…

Q: A 60 m long pipe of metal is cut into two pieces. One piece is used to form a square and the other…

A: Perimeter of square =4a 4a=x Perimeter of triangle =3b 3b=60-x b=(60-x)/3

Q: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

A: For the solution follow the next steps.

Q: A stack of paper measures 16 cm by 10 cm by 1 cm. The paper has a density of 0.04 grams/cm^3. What…

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Q: What are the dimensions of the base of the rectangular box of greatest volume that can be…

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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.