Question

Please answer all parts of this question (Especially the last two), Please make sure the answer is correct. Provide explanations if possible. Thankyou for your help !!

Question 1 points How dd The surface figured, which is part of a right-circular cone, is called a frustrum. But it kind of looks like a fez frustrum fez If the radi of the top and bottom are r and R and the slant height is s (note lower case s), then the surface area of the frustrum (not including the base or top) is So to make a fez with top radius 9 cm, bottom radius 11 cm and slant height 20 cm requires Number squared om of felt Note the Maple syntax for π is Pi and to make a fez re ures enough felt to cover thefrustrum and the top circo A curve can also be specified using polar co-ordinates and then rotated about the z-axis. Consider the curve specified by r 1 where Oss t looks a bit like a knit cap Surface of revolution S Knit Cap in general, the surface area of a surface of revolution about the z -axis of a curve described in polar co-ordinates by 0) with 80 S8s1 de Hence the surface area of S is A Number A curve can also be specified in parametric form and then rotated about the z-axis, Consider C:(lt,cosh(t)),0Sts1) rotated about the z-axis. It looks a bit like a stovepipe Surface of revolution S C1 In general, the surface area of a surface of revolution about the z-axis for a curve described in parametrically by dz dy A 2m(t) dt Hence the surface area of S is

Answer 1

es → Slant hight (not including Hu baht ot lop) TR

J0 dy Now y(1) 卩/ 2

Ca. dt t- o ス