9) Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 6 inches and a height of 4 inches. The other has a diameter of 4 inches and a height of 6 inches. Which can contains more stew and is, therefore, a better buy?

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

A:

Q: 5. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into…

A: Length of steel girder =27ft width of the passage way=8ft Let w be the width which has to be found.…

Q: A real estate company wants to build a parking lot along the side of one of its buildings using 600…

A:

Q: The volume of a pyramid is A us 704 cm^3 and the volume of Pyramid B is 297 cm^3. If the pyramucs…

A: Required answer is given in step 2.

Q: Using the pigeonhole principle: Given an equilateral triangle with side length of 1 cm, how many…

A: Pigeonhole Principle: If n pigeonholes are occupied by n+1 or more pigeons, then at least one…

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

A:

Q: A cube has an edge of length 30. A rectangular solid has edge of lengths 20, 30 and L. If the cube…

A: Given: A cube has an edge of length 30. A rectangular solid has an edge of lengths 20, 30 and L.…

Q: The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base was…

A: The altitude of the Great Pyramid of Cheops is h=480 ft and its square base was a=764 ft on an edge.…

Q: In a roll of aluminum foil, the inner cardboard tube has a diameter of 1.75 inches and a height of…

A:

Q: 3. A cone and a cylinder with the same height also share the same base. If the height of each solid…

A:

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

A: It is given that , A semi elliptical archway over a one-way road has a height of 10 feet and a width…

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

A: Given problem is : Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular…

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: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A: Given query is to find the amount needed to pain to the wall.

Q: he surface area of a hemispherical dome whose diameter is 36 ft. is to be covered with gold leaf…

A: Diameter of hemispherical dome = 36 feet                                  Radius = 362…

Q: O A company has to manufacture the circular tops of cans. Two sizes, one of diameter 10 cm and the…

A:

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

A: Solution by pythogoras theorem

Q: gutter with a trapezoidal cross-section is to be made from a long strip of metal 22 cm wide by…

A:

Q: 10 cm 10 cm 10 cm

A: Solution:GivenA metal sheet of width 30 cm by bending up onethird ofthe sheet on each side through…

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

A:

Q: A drug manufacturing company wants to manufacture a cap￾sule that contains a spherical pill inside.…

A: Recall the following. Volume of cylinder, V=πr2h Volume of sphere, V=43πr3 Volume of hemisphere,…

Q: 1. A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be paint. If a liter of…

A: Given : A cylindrical tank with radius r = 0.75 meter, height h = 1.5 meters Also a liter of paint…

Q: A student claims that the circumference of a semicircle with diameter AB is equal to the sum of the…

A: Circumference of circle=πD  D = diameter

Q: A factory is to be built on a lot measuring 240 ft by 320 ft. A local building code specifies that a…

A:

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

A:

Q: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

A:

Q: A rectangular pyramid has a base of 24 cm by 14 cm and height of 15 cm. What  is its volume?

A:

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: On a flat surface of land, geolo-gists drilled a borehole straight down and hit a mineral deposit at…

A:

Q: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

A: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

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

A:

Q: 1. A bike has wheels with radius 1.5 feet and a front sprocket with 36 teeth. a) If the rear…

A: We need to use sprocket ratio to find speed of bike  Note : according to guidelines maximum 1…

Q: 4. If the length of the diagonal of a rectangular box must be L, what is the largest possible…

A:

Q: A rectangula plot of land is to be seeded with grass. If the plot is 16 m by 12 m and a 1kg bag of…

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Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

A:

Q: A factory is to be built on a lot measuring 300 ft by 400 ft. A local building code specifies that a…

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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: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

A:

Q: A triangular prism has base edges 4cm, 5cm, and 6cm long. Its lateral area is 300 cm2. What is the…

A:

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: From a square piece of metal, whose side is 27 cm long, an open box with square base is to be made.…

A:

Q: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies…

Q: The volume of a 12-foot-tall cone structure is 48 cubic feet. What is the circumference of the…

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…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.