éDE.C and M Ch KIC Document 0 ) KIC Document 0 DE C and M Ch KIC Document 0 Can't reach this I 17F241 Pro-X + v â â ã ä» |O file:///C-/Users/shoul/Desktop/MTH241/17F241-Project2.pdf Lagrange multiplier method to solve this problem. Refresh Problem 4."Volume" of a four dimensional ball A circle or radius a can be expressed as x2 +y2-a2, with area value Ïα2 A sphere of radius a can be expressed as x2 + y2 -a2, with volume value-Ïα3 We can generalize the notion of the sphere to higher dimensions. Define a sphere of radius a in the 4 4 dimensional space as It is nearly impossible to visualize this object since it exists in the 4 dimensional space. But it can be accepted naturally that it should be a closed "solid" and has a similar notion of "volume" Your tasks: (1) Set up the "volume" of the ball of radius a in four dimensional space as a triple integral. (2) Calculate the triple integral you obtained in part (1) to find a volume formula for four dimensional balls. (Hint: use spherical coordinates for the (x, y,z) in this triple integral.) The answer of the volume formula is V--Ï2a". See wikipedia page: Volume of an n-ball. Hint: You may use the integral formula of uVa-udu-2)vac + 22:31 2017/11/21 8