How do you find the approximate volume of a triangular prism tank in a work problem?

Q: Can you explain why I would not use the washer method to find the volume? I'm confused on when to…

A: Here we will draw diagram for disk method to understand why it should not be used

Q: When finding the volume of a solid, how do you know which method to use? How do you conclude if…

A: Use washers when you've been given two equations.For example, if we've got y=x and y=x^2, and we…

Q: The total surface area of a solid hemisphere is 462 cm2 Find its volume

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Q: A cylindrical can has a radius of 6 inches and is 7 inches tall. Find the volume of the can. Volume…

A: Topic = Volume

Q: A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters.…

A: the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the…

Q: A grain silo consists of a cylinder with a hemisphere fit perfectly on top. If the cylinder has…

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Q: A truncated hexagonal right prism has an average lateral edge of 24 cm. What is the volume of the…

A: Given, A truncated hexagonal right prism has an average lateral edge of 24 cm. We have to find a the…

Q: 2. What formula should be used to minimize the lateral surface area of a cone, where the volume of…

A: I am attaching image so that you understand each and every step.

Q: A silo used to store grain can be the modeled as a right circular cylinder with radius 9.5 m and…

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Q: A pyramid at a museum has a height of 21 meters and square base with side lengths of 30 meters.…

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Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

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Q: When would one use method of washers rather than the method of disks to find volume of solids?

A: When would one use method of washer rather than disks method:

Q: A welder decides to make a pyramid out of flat steel. The height of the pyramid is to be 3.0 ft and…

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Q: 20. What is the exact volume of a cylinder whose diameter is 10 meters and whose helght is 12…

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Q: 8. If 1000cm² of material is available to make a box with a square base and an open top, find the…

A: Given:- If 1000cm² of material is available to make a box with a square base and an open top, To…

Q: A frustum of a cone has an upper base whose diameter is 6 m and a lower  base whose diameter is 12…

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Q: What is the volume of the solid formed in part III?

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Q: How can I derive the formula for volume (of any shape) and how can it be used?

A: Volume:- It is defined as the three-dimensional space enclosed by a boundary or occupied by an…

Q: Determine the dimenskons of a rectangular tank, open at the top, having volume of 256cm2, and…

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Q: How can we find the volume of a bottle with curved sides?

A: To explain about the volume of a bottle with curved sides.

Q: 11. Describe an effective way to show students the relationship between the volume of a cone and…

A: Write volume formula of cone and cylinder and relate

Q: 22. What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show…

A: The volume of a cone = (1/3) πr2h cubic units Where, ‘r’ is the base radius of the cone ‘h’ is the…

Q: Derive the formula for the volume of a sphere of radius r.

A: The volume of cylindrical element with radius x and altitude dy.                    dV  =  πx2 dy…

Q: a mountain cabin has a single room 20ft. by 10ft. by 8ft. what is the total volume of air in the…

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Q: Which best compares the volumes of cylinder X and cylinder Y?

A: Cylinder X volume Vx = pi x r2 x h

Q: Solve for the volume of the frustum of right circular cone given the dimensions 35m

A: Given that: Top diameter, d=35mBottom diameter, D=106mSlant height, L=84.528m NOTE: As per our…

Q: An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions…

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Q: Explain how to find the volume of a solid with a known cross section.

A: We have to explain how to find the volume of a solid with a known cross section.

Q: I have a sheet of cardboard which measures 5 m by 5 m. I want to cut squares out of each corner of…

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Q: A solid has a circular base; cross sections perpendicular to the base are squares. What method…

A: It is given that,a solid has a circular base; cross sections perpendicular to the base are squares.…

Q: What is the volume enclosed by the slanted prism in the diagram?

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Q: 15. The Frank Erwin Center, or "The Drum,"at the University of Texas in Austin can be approximated…

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Q: a truncated hexagonal right prism has an average lateral edge of 24cm. what is the volume of the…

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Q: 1. Karla has 1200 cm? of material available to make a box with a square base and an open top. Find…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: determine the dimensions of a rectangular tank open at top having the volume of 108 cm^3 and…

A: Finding the dimensions of the box using the given conditions

Q: • How can I derive the formula for area of a sector and how can it be used? • How can I derive the…

A: Solution is given below:

Q: An aquarium with rectangular sides and bottom (and no top) is to hold 5 gal. Find its proportions so…

A: Let the dimensions of a rectangular aquarium is Length =l Width=w Height=h Now, The volume is,…

Q: The Thinker, by Auguste Rodin, is placed in a packing case with internal measurements of…

A: Prism volume = l *b*h We are given with 6*3*5 dimensions packing case.   One dimension is tripled,…

Q: How do I find the radius for the methods of  volume using disks, washers and shells?

A: (1) For Disk method: The shaded region in the graph is revolving about x- axis. The radius for the…

Q: 21. What is the exact volume of a sphere whose diameter is 14 cm? Show your work.

A: We will solve the following.

Q: Find the volume of the largest pyramid of square base that can be cut from s cube of edge a meters.…

A: A pyramid is a solid whose base is a plane polygon and sides are triangles that meets in a common…

Q: A food packaging company is completing two different designs for distributing their product. Design…

A: The volume of a triangular prism is 12bhl Here l is the length ,b is the base and h is the height…

Q: What is the best estimate for the volume of this cylinder ?

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Q: Which of the following is NOT a method for finding volume of solids of revolution?

A: answer is in next step

Q: A frustum of a cone has an area of 2m2 and 5m2 for the upper and lower base respectively, If the…

A: Given:- A frustum of a cone has an area of 2m2 and 5m2 for the upper and lower base respectively, If…

Q: What is the Lateral area of a triangular prism?  What is the surface area of a triangular prism?…

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Q: 2.The monument of Cestius in Rome which is a square pyramid is a square pyramid 121.5 ft high with a…

A: According to question, Height of pyramid h = 121.5 ft, Base edge of square pyramid b = 98.4 ft

Q: What is the volume of a sphere whose radius is 12.0?

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Q: · How can I derive the formula for area of a sector and how can it be used? How can I derive the…

A: Area of a sector of circle A circle has 360 degree angle or one full circle has 360 degree angle and…

Q: | 7. What is the volume of a frustum of a cone whose upper base is 15 m in diameter and lower base…

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