A cylindrical standpipe is to contain 343,000gallons of water. If the height is to be twice its diameter, what would be its dimensions?

Q: 1. A contractor is to construct a tank to contain water for his construction project, given that the…

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Q: Kou are in charge of constructing a zoo habitat for prairie dogs, with the requirement that the…

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Q: An isosceles triangle whose equal sides form an angle θ and whose third side has length t sits on…

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Q: 2. An observatory has the shape of a right circular cylinder surmounted b a hemisphere. If the…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A gutter having trapezoidal cross-section is to be made by bending a strip of tin 1 meter wide. If…

A: Given that the trapezium is to be made by bending a strip of tin 1m=100cm wide. If the width of the…

Q: An isosceles trapezoid-shaped flower bed has the minor base of M 12, the major base of M 21, the…

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Q: 1. Find the volume and total area of a rectangular parallelepiped which is 15 ft high and the side…

A: Explanation of the answer is as follows

Q: The main tank has a radius of 95 feet. What is the volume of the quarter-sphere sized tank rounded…

A: From given, we have, The radius of spherical shape tank = 95feet.

Q: A 10 in long wire is to be cut into two pieces. One piece will be bent to form a square and the…

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Q: A circle has an area of 144 cm^2 is cut into two segments by a chord that is 9 cm from the center of…

A: Given: The area of the circle is 144π cm2 here you doing typing mistake , area should be 144π if…

Q: A pentagonal pool is to be constructed with a uniform depth of 6 feet. The dimensions are shown in…

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Q: Is data collected on income level (low, medium or high) classified as nominal or ordinal

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: c) A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side cis…

A: Find the side a,b,c

Q: A factory is to be built on a lot measuring 100 ft by 240 ft. A local building code specifies that a…

A: Solving this question, we can construct a quadratic equation that represent the situation. We can…

Q: 3. Find the area of the base of a regular square pyramid whose lateral faces are equilateral…

A: Solution by pythogoras theorem

Q: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each…

A: Given, the surface of soccer ball is composed of 12 regular pentagons and 20 regular hexagons. Each…

Q: 1.) A Norman window consists of a rectangle surmounted by a semicircle. If the the perimeter of a…

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Q: A trough is formed by nailing together edge to edge, two boards 11 ft. in length, so that the right…

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Q: 2. An interior designer is designing a round table with a radius o would like to use a special kind…

A: Let the radius of round table is denoted by r and its value is given as 24 inches. Here we need to…

Q: A factory is to be built on a lot measuring 160 ft by 300 ft. A local building code specifies that a…

A: It is given that The factory and the lawn occupy equal areas. Suppose  that, The length of the…

Q: 2. A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an…

A: Snowcone is a crunchy ice ball. If r is the radius of any spherical shape body then its volume is…

Q: 5) An aquarium tank in the shape of a rectangular prism is 20 inches long by 16 inches wide by 12…

A: The tank dimensions are  Length l = 20 inches Width b = 16 inches Height h = 12 inches

Q: 1.A church spire in the form of a regular hexagonal pyramid whose base edge is 8 ft and whose…

A: TO FIND: The total cost

Q: 1. A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A:

Q: 19. A drawbridge that is 104 ft in length is raised at its midpoint so that the uppermost points are…

A: Given,            A drawbridge that is 104 ft in length is raised at its midpoint so that the…

Q: Consider a right pyramid whose base is an equilateral triangle of side 4 cm each. If each slant edge…

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Q: If a right triangle is formed by the placement of three squares, what is the area of the shaded…

A: Given that three squares are arranged such that a right angled triangle PBD is formed. We need to…

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: In the given question we have to maximize the area .

Q: 1. A fabricator is hired to make a 27-foot-long solid metal railing for the stairs at the local…

A: We need to find the quantity of metal required to make the rail of given dimensions.

Q: 6. Find the difference of the areas of a square and a semi-circle if the square is inscribed in the…

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Q: 1. The hypotenuse of an isosceles right trapezoid measures 9 cm. How long is each leg? (Hint: Leg i…

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Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of a Y. If…

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Q: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of…

A: Dodecahedron is a hollow figure like football with 12 faces, for example we have 6 faces in a…

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: Solve according to the question

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: 2. A sphere is inscribed in a right circular cone whose slant height has a length equal to that of…

A: Given:

Q: 5. A trapezoidal gutter is to be made, from a strip of metal 22 inches wide by bending up the edges.…

A: Solution of above question is shown below

Q: 4. A steel girder 27 ft long is to be moved on rollers along a passageway 8 ft in width and into a…

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Q: What length of band will be required?

A: Given , three cylindrical oil drums of 2-foot diameter are to be securely fastened around the…

Q: A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width…

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Q: 4 A trash bin is a right rectangular prism with a width of 2 ft, a length of 1 ft, and 8. a volume…

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Q: A dog trainer has 58ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given that a dog trainer has 58 ft of fencing with which to create a rectangular work area for dogs.…

Q: . Find the volume of a regular pyramid shown in the figure given a circumscribing circle radius =…

A:

Q: 2. A trapezoid 6 m in altitude have bases of 12 m and 18 m respectively. If it is divided into two…

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Q: Please write detail explaination, approach and so on

A: Length of the diagonal of the square = 13' - 9"1' = 12"Hence, length of diagonal in inches = 13 x 12…

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: Suppose you have a rectangular pyramid with a base length of 4.5 in, a width of 7 in, and a pyramid…

A: Base length of pyramid:= 4.5 in Width of pyramid:= 7 in Height of pyramid:= 16 in   Now:          If…

Q: 12) A cylindrical bale of hay needs to be wrapped in plastic. It has a height of 9 ft. and a radius…

A:

Q: A factory is to be built on a lot measuring 114 ft by 152 ft. A local building code specifies that a…

A: Given: total area of yard and building = 114 ×152 ft2 = 17328 ft2 Now it is given that according to…

Q: 1. The inside of a wash basin is in the shape of a segment of a sphere; the distance across the top…

A: Calculation of Required Volume.