For a given box, the height measures 3m. If the length of the rectangular base is 2m greater than the width of the base and the lateral area L is 96 m2, find the dimensions (in meters) of the box. 1. Length 2. Width

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Q: Calculate the volume defined by 2 <r <4m; 30º <θ <50º and 20º <φ <60º; b) What is the length of the…

A: (a) It is given that: The region of integration is  R=r, θ, ϕ/2≤r≤4, 30°≤θ≤50° and 20°≤ϕ≤60°=r, θ,…

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A: volume of cone= V=1/3hπr².

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Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft²…

A: Solution: An open rectangular box  volume = 392 ft3 Cost at base = 75 /ft2 Cost at the side = 50…

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A: For the first figure,  V1=πr12h1 and V2=πr22h2 It is given that r1r2=21  and h1h2=12

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Q: Find the volume of a waffle cone with a diameter of 4.4 in. and an approximate height of 3 in. The…

A: Given; Diameter=4.4 inches  Height=3 inches.

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A: Given dimensions of prism are Length l = 15m Breadth b = 11m Height h  = 8m

Q: 2. The length of a pipe is 50 cm and its inner and outer diameters are 20 cm and 30 cm respectively.…

A: It can be concluded by the dimensions that the pipe is in cylindrical shape.

Q: On moving day, Guyton needs to rent a truck. The length of the cargo space is  10   ft , and the…

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Q: what is the lateral area of a cylinder which has an element of 8 inches and a right section with a…

A: To Determine: what is the lateral area of a cylinder which has an element of 8 inches and a right…

Q: Determine the volume of a frustum of a cone if the diameter of the ends are 6 cm and 17 cm and its…

A: Determine the volume of a frustum of a cone if the diameter of the ends are 6 cm and 17 cm and its…

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Q: In a water treatment plant, a civil engineer must fabricate a settler with a regular cone shape V=…

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Q: Calculate the volume of a square pyramid is the height is 13 and the base is 10?

A: To calculate: Volume (V) of a square pyramid.   Given:  Side length of the square base, a = 10 units…

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

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Q: The volume of a spherical balloon with radius 4.2 cm is about 310 cm3. Estimate the volume of a…

A: Formula to find the volume of the sphere helps to find the required volume of the spherical volume.…

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

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A: We have to find

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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: 4. Determine the perimeter of the rectangle with area 232 m? and minimum perimeter. a. About 60.9 m…

A: *As per the guidelines, only first question answered. Please resubmit the remaining questions…

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Q: A right circular cylinder has a radius of 3 units and a volume of 72pie  cubic units. What is the…

A: Topic = Volume

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Q: 12. The surface area of the soup can below is 51.84 in?. If the diameter of the can is 3 inches,…

A: Given that, The surface area of the soup can is 51.84 in2.The diameter of the can is 3…

Q: 2. The length of the photo is two more than the width. The area is 24sq in. What are the dimensions…

A: Question 2. Suppose that length of photo is x inch and according to question width of photo is (x +…

Q: Find the volume of a cone with a base area of 36π cm. and a height of 2 cm less than the radius.…

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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: For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than…

A: The height of the box is 4 m. Length of the rectangular base is 2 m greater than the width of the…

Q: The English Channel Tunnel, or "Chunnel," runs a distance of 50.45 kilometers from Dover, England,…

A: It is given that the tunnel is shaped like a half cylinder with radius 4 meters and distance of…

Q: The volume of a sphere is 36π m 3 .Find its area?

A: Given:Volume of a sphere=36 π m3Formula:Surface area of sphere=4 π r2Volume of sphere=43πr3

Q: e volume of a hemisphere is 2425  (1/2) cm3 .Find its curved surface area

A: Applying sphere formula we get

Q: the internal radius of the pipe is 2cm, the external radius is 2.4cm and the length of the pipe is…

A: The internal radius of the pipe is 2 cm. The external radius is 2.4 cm. The length of the pipe is 10…

Q: The Lincoln Memorial in Washington DC has 36 columns. Each column is 44 feet tall and in the shape…

A: Lateral surface area of the cylinder= 2π(radius)(height)

Q: Nam and Brandon each have a cylindrical canister of Pringles. Nam’s cylinder has a diameter of 7…

A: Nam's cyclinderDiameter=7 inches, radius=72 in.height=13 inchesThe surface area of cyclinder is

Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft?…

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Q: The base of a right prism is a triangle whose sides have lengths of 9 in., 15 in., and 12 in. The…

A: Let s be the semi-perimeter of  the triangular base of the prism. Then, s=9+15+122=18 in. Therefore…

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Q: Calculate the volume of a square pyramid with a slant of height of a right triangle being 13 and the…

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Q: 3. Find the volume of a cylinder with a diameter of 90cm, and height of 1m. 4. Find the depth of a…

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