Mathematics, 12.11.2020 18:30 aliyahgregory
Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 81, above the xy-plane, and below the cone z = x^2 + y^2.
Answers: 1
![V = \bigg [-cos \phi \bigg]^{\pi/2}_{\pi/4} \bigg [\theta \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3} \bigg ]^{9}_{0}](/tpl/images/0891/4763/dfd9c.png)
![V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]](/tpl/images/0891/4763/f33da.png)
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Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2...
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