volume 21) In an hour glass, sand falls into a cone-shaped pile. If the height of the sand is 5 inches and the radius is 4 inches, what is the volume of the pile of sand?

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

A: Draw the corresponding figure.   According to the figure, slant heights are AB and AC and the…

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

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

Q: The corner cupboard shown below has 3 circular shelves that each have 270° of usable space. If…

A: Although the figure is not shown, we will solve using the given data.

Q: A new park was designed to contain two circular gardens.  Garden A has a diameter of 40 m and garden…

A: Answer:  40π meters will be needed to outline the smaller garden.

Q: 1. If the height of a cylinder is 8 inches and the volume is 226.08 cubic inches, find its radius.

A:

Q: A cone-shaped roof has a diameter of 12 ft. and a height of 8 ft. If roofing material comes in 120…

A:

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

A:

Q: A shipping container is in the shape of a right rectangular prism with a length of 11.5 feet, a…

A:

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 shipping container is in the shape of a right rectangular prism with a length of 14 feet, a width…

A: Mensuration Question

Q: 3. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Given: An open rectangular box  square ends to hold 6400 cu ft,Cost for base end = Php.75Cost for…

Q: . A cube has 30 cm on each side, what is its volume in cubic meters?

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

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: A cylinder has a height of 44.5 inches and a radius of 22.8 inches Which of the following…

A: Given :Cylinder has a height of 44.5 inches Radius of 22.8 inches

Q: How many liters of paint are needed to paint the exterior wall of an astronomical observatory…

A:

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: Which geometric solids could be used to describe the approximate shape of the silo?

A: In this question we have to find which geometric solids could be used to best describe the…

Q: A 0.500m long hexagonal concrete shaft measuring 20.0cm across the corners has a triangular hole…

A: Given data :  Length of the shaft , h = 0.500 m                                      = 50 cm  side…

Q: A room has a width of 14.1 feet, a length of 15.5 feet, and a ceiling height of 12.0 ft. You plan to…

A: We know that 1 feet = 0.3048 meter. Also 1 sq feet = 0.092903 sq meter.

Q: 2. A cone has a Volume 7,065 in^3. and a height of 30 inches. What is the radius of the cone?

A: Given height of cone =30 inches Volume=7065 in3

Q: The volume of a truncated prism with a square as it horizontal base is equal to 5000 cubic inches.…

A: Given that, The volume of a truncated prism with a square as it horizontal base is equal to 5000…

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 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 wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder…

A:

Q: A circus tent is made in the shape of an octagonal prism and octagonal pyramid. If the side of the…

A:

Q: Based on the image attached, it shows a quadrilateral ABCD. Calculate, a) ∠CBD, b) the length, in…

A:

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

A:

Q: A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4 mm. He decides to…

A: Let the radius of large sphere be x. The volume of the large sphere is 43πx3. Model the equation for…

Q: 4)A triangle has two sides that have lengths of 8 cm and 14 cm. Which length below COULD NOT…

A:

Q: 1. The volume of a right prism is 234 cu.m. with an altitude of 15 m. If the base of the prism is an…

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 quadrilateral with sides 8 cm. 9 cm, 6 cm. and 5 cm has area 45 cm2. Find the area of a similar…

A: Quadrilateral : A quadrilateral with sides 8 cm, 9 cm, 6 cm, 5 cm. The area is 45 cm2.

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

A: Given:

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

A:

Q: A cylinder can hold 450 cubic inches of water. How many cubic inches of water can a cone that has a…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: Given:

Q: 4. A vacant lot is being converted into a community garden. The garden and the walkway around its…

A:

Q: If the area of the red square is 1 square unit, what is the area of the blue square? Give a…

A: Given: Area of red square is 1 square unit

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

A:

Q: A dog trainer has 66 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given:Perimeter = 66 ftArea = 182 ft2

Q: 19 The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 sqr. in. What are…

A: Find the length and width

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: 5. The height of the cube toy box of Terence is 4x? - 3y?, If the volume of the cube is 64x* -27y,…

A: Given:- The height of the cube toy box of Terence is 4x2 -3y². If the volume of the cube is 64x6…

Q: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares…

A: Definition used -                The volume of box  = Area of base x height…

Q: A hemispherical tank is filled with water and has a diameter of 20 feet. If water weighs 62.4 pounds…

A:

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: To find the relation between heights of pyramids

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…

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…