Math 252 - Recitation Activity 9 - Winter 2022 Page 6 of 6 (5) Consider y 2 x) 2 V1 11:2 over [1, 1]. Let R be the region under f, and let S be the solid obtained by rotating R around the :r-axis. Note: 3 is a unit sphere. (a) Find the volume of S. (b) Find the arc length from :1: = 72 to 3: = 72 Note: this is i the circumference of a unit circle. (c) The surface area of the solid of revolution (around the :c-axis) is given by the formula I: 2wf(m) 1 + (f'(:c))2 dx. Use it to nd the surface area of S. In this case, if you do the calculations correctly, the integrand will be very simple