Question 2(a) Use cylindrical coordinates to evaluate the integral 25-(x²+2j³/2 dzdxdy.Sketch the region of integration.(b) A cake is shaped like a hemisphere of radius 4 with base on the xy-plane. A wedge of cakeis removed by making two cuts from the center of the cake outward, perpendicular to the zy-plane and separated by an angle of .25-2 п(b1) Use a double integral to find the volume of the slice for =(b2) Now suppose that the cake is shaped like a cylinder with the same radius and youtake a slice in the same way with the same angle. How high the cake should be so thatyou get the same amount of cake as in part (bl)?

Since there is more than one question, find the solution to the first one.

Answered: Question 2 25-y (a) Use cylindrical…

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Question 2 25-y (a) Use cylindrical coordinates to evaluate the integral ² SN="²" 25- -5 7₁ (x² + y²)³/2dzdxdy.

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

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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