3. Your friend Satomi is making dinner and needs a quarter of an onion Instead of cutting it into quarters she tells you she can cut off a spherical cap, but she's not sure how thick to make it You determine that the radius of the onion Is 3 cm. Use integration to determine how thick ( h ) Satomi should cut the cap Round your answer to two decimal places. ( You may use a calculator / computer to solve a cubic equation ) Here is an illustration of a spherical cap h r=3cm Volume of sphere = 4 or V= ch A( x ) dx 3 = 4 1 ( 3)5 = TY 4J 2 2 - x dx 3 = 4 1 27 = 1 (h (3)2 (6) " dx 3 h 2 =1 108 = T 9 . 36 dx 3 = 361 36% = D 324 dx h= 324 36 h = 19 h = 3