## Question

###### Convert the given integral to an equivalent integral in cylindrical coordinates and evaluate the result, 15...

Convert the given integral to an equivalent integral in cylindrical coordinates and evaluate the result, 15 p/25-x² px² V x2 + y2 dz dy dx Jo

## Answers

- Page 2 oft Solution → Page 1 of 4 Given integral 15,25-2, a pa Saty? dedyta we have to convert this integral into cylindrical coordinates we know cylindrical coordinates dady dz = 1Jl da dedz where - an,Y, 2) Jl. 91,9, 2) J = 122 22 22 h I lose assing are 2 = 360sa , y = 91 sine , ZEZ In cylindrical coordinates we see The region of integration is os 955, 038 371/2 and oczarcos expanding along Row -3 I = I lose tsine) = 1 (andydz = ndardedz On changing the given integral into cartesian coordinates substituting all these values in given integralPage 3 of 4 " 1 Integral becomes Page 4 of 4 do dr is dasan? ("Watya dzdyda 910 90 90 -15 1/2 rocoso ਪਰ ਘਰ r=0 =0 2=0 x aida dodal pas endado del Bin T=0 = 15 l irose-o) do do = [(595_o = is the at cose doda 510 which is required answer

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