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Sectionl4.7: Problem 6 Next (1 pt) In cartesian coordinates, the equation z = ro

ID: 2967378 • Letter: S

Question

Sectionl4.7: Problem 6 Next (1 pt) In cartesian coordinates, the equation z = root x^2 + y^2 describes a cone whose vertex is at the origin and whose sides make an angle of 45 degrees with the Z-axis. In spherical coordinates, the equation p = 2 COS(delta)describes a sphere with radius 1 whose south pole at the origin and whose north pole is at the point (0, 0,2)on the z-axis. Using spherical coordinates, set and compute an integral to find the volume of the ice-cream-cone shaped solid lying above the cone z = root x^2 + y^2 and below the step = 2 cos(delta). V = 1.22687

Explanation / Answer

Volume of cone will be = 1/3 *pi*r2*h
= 0.333*3.1416*1*1*2
= 2.0944 unit3

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