1. Suppose a new theater being designed has a base which can be described as the regionbounded by y = 4x² and y = 25. The cross-sections perpendicular to the y-axis will berectangles whose height is 5 units higher than the width of its base.(a) Find an exact value A so that the line y = A divides the floor into two equal areas.(b) Find the (approximate) percentage of the volume of the theater which is in the regiony2 A. Give your answer to two decimal places.

1. Suppose a new theater being designed has a base which can be described as the region 25. The cross-sections perpendicular to the y-axis will be rectangles whose height is 5 units higher than the width of its base. bounded by y = 4x² and y = (a) Find an exact value A so that the line y = A divides the floor into two equal areas.

1. Suppose a new theater being designed has a base which can be described as the region 25. The cross-sections perpendicular to the y-axis will be rectangles whose height is 5 units higher than the width of its base. bounded by y = 4x² and y = (a) Find an exact value A so that the line y = A divides the floor into two equal areas.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...

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