Please don't handwriting solutions Let D be the solid bounded above by the sphere x² + y² + z² = 16, belowby z = 0 and laterally by the cylinder x² + (y − 2)² = 4. Which of the followingstatements are true?(i) The base of D has the boundary r = 4 sin 0, which is a circle.4y-y²16-2-dzdxdy.- SLCS(ii) The volume of D is V =The volume of D is V=(iv) The volume of D is V = 226"Jo(v) The volume of D is V = 2(vi) The volume of D is V =OA) (i) and (v)OB) All of themOC) (i), (iii), and (vi)D) (iii) and (vi)OE) (1), (ii), and (v)Cπ/212894y-y²J04y-y²4 sin e4 sin 0To b(3π — 4).16-x2-y²16-2dzdxdy.rdzdrde.16--2rdzdrde

Base is a circle. In polar form: From the equation of circle:

Let D be the solid bounded above by the sphere x2 + y² + z² = 16, below by z = 0 and laterally by the cylinder x2 + (y-2)² = 4. Which of the following statements are true? (i) The base of D has the boundary r = 4 sin 0, which is a circle. 4y-y² /16-x²-3² dzdxdy. (ii) The volume of D is V = -S (in) The volume of D is V = (iv) The volume of D is V = 2 26" (v) The volume of D is V = 2 = (vi) The volume of D is V = OA) (1) and (v) OB)All of them OC)(1). (i) and (vi) OD) (iii) and (vi) OE) (1). (i), and (v) 4 V 128 9 4y-y². √4y-y² 4 sin 0 Jo Jo 0 C/2 4sin 0 (3π-4). 16-2-² 0 √16-2 /0 dzdxdy. rdzdrde. √16--2 rdzdrde.

Let D be the solid bounded above by the sphere x2 + y² + z² = 16, below by z = 0 and laterally by the cylinder x2 + (y-2)² = 4. Which of the following statements are true? (i) The base of D has the boundary r = 4 sin 0, which is a circle. 4y-y² /16-x²-3² dzdxdy. (ii) The volume of D is V = -S (in) The volume of D is V = (iv) The volume of D is V = 2 26" (v) The volume of D is V = 2 = (vi) The volume of D is V = OA) (1) and (v) OB)All of them OC)(1). (i) and (vi) OD) (iii) and (vi) OE) (1). (i), and (v) 4 V 128 9 4y-y². √4y-y² 4 sin 0 Jo Jo 0 C/2 4sin 0 (3π-4). 16-2-² 0 √16-2 /0 dzdxdy. rdzdrde. √16--2 rdzdrde.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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