Module 9, Solving Rea 1. One hundred pyramid-shaped chocolate candies with a square base with 12 mm sides and height of 15 mm are melted in a cylindrical pot. If the pot has a radius of 75 mm, what is the height of the melted candies in the pot?

Q: A piece of wire 10 ft long is cut into two piece. One piece is bent into the shape of a circle and…

A: The area of a circle is πr2 , where r is the radius of the circle . The area of a square is a2 where…

Q: If a spherical propane tank is filled 80% of its capacity. How many gallons of propane does the tank…

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

A: We need to determine the radius of semicircle and height of rectangle.

Q: Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be…

A: Solution is given below:

Q: 4. A wheel has a radius of 13 inches. To the nearest inch, how far does it travel in 3000…

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Q: 9. A cylindrical fish tank has a diameter of 6 feet and a height of 3 feet. How many tropical fish…

A:

Q: A dog trainer has 92 ft of fencing that will be used to create a rectangular work area for dogs. If…

A: The rectangular work area for dogs has fencing of length 92 ft. The area enclose by rectangular work…

Q: 26.) A cylindrical water tank has a diameter of 9 inches and a height of 12 inches. The water…

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Q: A cylinder and a cone, each with 9-m radii and 5-m heights Are the shapes similar? If the shape are…

A: A cylinder and a cone, each with 9-m radii and 5-m heights

Q: A certain three-dimensional figure has one base and 3 faces. The area of each face is the same. The…

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Q: Suppose you have a right triangle area marked in the ground with a base (8-h) meters long and a…

A: Given:

Q: The diameter of a metallic sphere is 6 cm .The sphere is melted and drawn into a wire uniform cross…

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Q: A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

A: Given:A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

Q: EXERCISES 7. 1. A tank of water is in the shape of an inverted pyramid that is 18 ft tall and whose…

A: pump all of the water to the top of  of the top of the tank tg

Q: Please Help me with This Question. A long rectangular sheet of metal, 12 in. wide, is to be made…

A: Given information: A long rectangular sheet of metal, 12 in. wide, is to be made into a rain gutter…

Q: A truck has to pass under an overhead parabolic arch bridge 20 meters and is 16 meters high. If the…

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Q: Answer number 2: 1. A square base pyramidal roof is being constructed with a base edge length of…

A: Solution - 2) Given : Volume of the pyramid is 24 cubic feet  Height of the pyramid is 9.00 foot

Q: A cylindrical standpipe is to contain 343,000gallons of water. If the height is to be twice its…

A:

Q: 5. The volume of a cone is 96 n cubic inches. Its height is 2 inches. What is its radius? What is…

A: Given that: Volume of a cone, V=96π in3Height of cone, h=2 inSlant height, l=4 in

Q: A pyramid was built about 2590 BC. Its original height was 315 feet, 7 ​inches, but due to the loss…

A: given that a A pyramid was built about 2590 BC. Its original height was 315 feet 7 ​inches, but due…

Q: A cuboidal box of dimension 1 m * 2m * 1.5 m is to painted except its bottom . Calculate how much…

A:

Q: 4. A wheel has a radius of 13 inches. To the nearest inch, how far does it travel in 3000…

A:

Q: 15. The height of a triangle is 1 cm more than its base. Find the height and base if its area is…

A: Let base of triangle be x cm,since height is 1cm more than base ,so height is x+1 cm,By  using  the…

Q: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r^3 oz of water when it is…

A: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r3 oz of water when it is…

Q: A poster is to have an area of 180 sq. in. with 1 in. margins at the bottom and sides and a 2 in.…

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Q: A curved concrete road will accommodate traffic traveling s mph if the radius of the curve is r…

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Q: times the radius. Water is poured into a cylindrical tank whose height is when the radius is 3m ? I…

A: The solution of question no 1 is given in the next step.

Q: 10. A page is to contain 54 sq. cm. of printed material. If the margins are 1cm at the top and…

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Q: The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

A: Given- The top and bottom margins of a poster are each 6 cm and the side margins are each 8 cm and…

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A:

Q: The height of a triangle is 1cm more than its base. Find height and base if it’s area is 21 cm2

A: let the base of triangle is 21 cm, since height is 1 cm more than height , so height is x+1, No we…

Q: 3. A cylindrical cooler has a diameter of 30 inches and a height of 24 inches. Runners in a marathon…

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Q: and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of printed…

A: Add margins in width and height and find out area and differentiate wrt x and put zero

Q: 2) and the height is 5 inches. Find the volume of the cake if the radius is 8 inches

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A semielliptical archway over a one way road has a height of 10 feet and a width of 30 feet. A truck…

A: Given: road height =10 feet road width=30feet The truck has a width =10feet The truck has a…

Q: A right triangle with area 2 square units is inscribed in a circle. If the center of the circle lies…

A: Given that, A right triangle with an area of 2 square units is inscribed in a circle. The center of…

Q: A town park was constructed to form a shape of a trapezoid. The base measures 128meters and 92…

A:

Q: A shipping container is in the shape of a right rectangular prism with a length of 1.5 feet, a width…

A: Pounds and lbs are both the same. So the answer is 95 lbs.

Q: 2. Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet…

A:

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of…

A: Let l be the length of poster and w be the width of poster.The top and bottom margins are 8cm and…

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A: Given that, A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up…

Q: A rectangular piece of paper with length 37 cm and width 16 cm has two semicircles cut out of it, as…

A:

Q: 1. An amusement park wants to place a new rectangular billboard to inform visitors of their new…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: A roof is being covered with parallelogram shaped shingles. The base of each parallelogram is 0.05m…

A: Area of parallelogram= base times height

Q: How do you solve for the area of a triangle? Is there a specific formula?

A:

Q: 3. A cylinder is cast from a rectangular piece of alloy 5 cm by 7 cm by 12 cm. If the length of the…

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

A: