Each triple integral calculates the volume of one of the solids pictured below. Match each integral with the label A - E of its corresponding solid. As always, you may click on the thumbnail image to produce a larger image in a new window. Just take your time; a process ofelimination will help with matches that are not obvious.V1-z2/1-12-y2+11.dzdydxV1-z2-y2_1V1-2.dzdydx/1-26-z-3y3.dzdydx• 4–x²-y²4.dzdydxV2-z² Jr²+y?V1-1²-y25.dzdyda1-z21–x²-y²ABE

Answered: Image /qna-images/answer/9cc992c6-451f-44bd-afb1-87267730374a.jpg

Answered: 1. dzdydz 2. zphpzp - 6-z-3y dzdydz 3.…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section1.3: Modeling With Linear Equations

Problem 9ECP: A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of...

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A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of the container.
Assume that a cylinder has a fixed volume of 125 m³ with an open top. Find the radius and height of the cylinder that can minimize its surface area. The surface area of the cylinder is A = (radius)2 + 2 radius height The volume of the cylinder = (radius)². height. → radius height
With the aid of graph diagram, find the total area of the region. а. у%3х2 — 4х + 3, 0sx< 3, y = 0 b. y = x, y =, x= 2
The box has a volume of 1125. Find x. X = C X 15 10
Find the total area of the region between the x-axis and the graph of y = -x - 3x, - 4sx<3. The total area of the region between the x-axis and the graph of y = - x -: 3x, - 4sx<3 is. (Simplify your answer.)
Use the Shell Method to find the volume, V, obtained by rotating the figure around the x-axis. y V = y = x² (Express numbers in exact form. Use symbolic notation and fractions where needed.) y = mx V (3) = Use your result to find the volume when m = 3. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Find the area of the shaded region. y=0 2 y = x^3 - 4x^2 6 ro 10 Xx
A metal bushing is shown in the following image. The bushing is 30 millimeters tall and divided into two sections that measure 5x and x millimeters. The outer diameter at the bottom is 30 millimeters. The outer diameter at the top is 20 millimeters. The entire center of the bushing is hollow and its diameter is 6 millimeters less than the outer diameter at the top. 5x sx{ x{ 20 mm 30 mm 1. What are the heights of the two sections of the bushing? 30 mm 2. Use the subtraction method to find the volume of the metal bushing. Use 3.14 to approximate pi and round your answer to the nearest tenth of a unit.
Find the volume of the tetrahedron with vertices (-4, -4,4), (-7,-5, 8), (-4, -8,0), and (-9,0,5). Volume =
Ram a farmer, managed to grow shaped-watermelons inside glass cases ofdifferent shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid,cylindrical along with the normal spherical shaped watermelons. Thickness of the skin was same for all the shapes. Each of the glass cases was so designed that the total volume and the weight of the all the water-melons would be equal irrespective of the shape. A customer wants to buy water-melon for making juice, for which the skin of the watermelon has to be peeled off, and therefore is a waste. Which shape should the customerbuy?
Take a 7.5 by 11-inch piece of paper and cut out four equal squares from the corners. Fold up the sides to create an open box. Find the dimensions of the box that has maximum volume.Assume that the length is less than the width. Round your answers for the length and the width to two decimal places and your answer for the height to three decimal places.
Ram a farmer, managed to grow shaped-watermelons inside glass cases of different shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid, cylindrical along with the normal spherical shaled watermelons. Thickness of the skin was same for all the shapes. Each of the glass cases was so designed that the total volume and weight of all the water-melons would be equal irrespective of the shape. A customer wants to buy watermelon for making juice, for which yhe skin of thr water melon has to be peeled off, and therefore is a waste. Which shape should the customer buy?

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