Question

I need answer to the both 15 and 11 no questions

9:18 7 moodle.icmanitoba.ca Due date: July 31, 8.00PM (CDT) 1 of 2 Student ID Circle your instructor's name Instructor's name: Shule Vaughan Yao Answer all parties and be all your work. Na calators allowed. (Total Marke: 3) me that the health of 5m. Pel the sandwich of the line inscribed in this here that can accia theme of the time The raulius of the plane radius of the cylinder) (height of the cylinder) The volume of the line-radiusbeight V3 2. Asume that cylinder has a find me of 2r m'. Find the radio and weight of the cylinder to The surface area of the colinder is A = (radius) + 3x radius bright The volume of the link beight

Answer 1

let radius Radius cylinder bermf height of cylinder be hm. of sphere va 3 = {²+ the Solutian: Radius of sphere is 13 m (radius of cylinder) (height of cylinderja &² + the (53) = (Vx+th)? → 3-the volume of cylinder Squarsing both siden &² V = r g2h h V - R " (3-4hh V = R(3h - th ) - 0 using second derivative test to maximise vduene V dvºr 1 (3-3,50) differtantiate © with dh du ah 0 r ( 3- {h) = 0 2 8-3h = 0 4 CS Scanned with CamScanner

3 = 3 h 4 h2 u=h² hry h= + 2 As height can't be negative "h=-2 zejected h=2 av - 5760-46) dh² dv -69e(2) e²= 3 u At h=2, - 3r <0 dh² .: Volume is maximised when h=2. When h=2, 3 -1(2)? = 3-4(4) -3-1 =2 &²=2 &=52 ſa rejected can't be negative To maximise volume volume of cylinder, height of cyclinder should be a m radius of cylinder e should be vêm as radius 4 CS Scanned with CamScanner