Mathematics, 25.04.2020 03:02 poptropic9207
An xyz-coordinate system has an x-axis, a y-axis, and a vertical positive z-axis. A right circular cone labeled z = 26 - √( x² + y²) has a circular base in the xy-plane that is a circle centered at (0, 0, 0) and a vertex on the positive z-axis.
Find the volume of the solid bounded by the surface z = f(x, y) and the xy-plane.
(Type an exact answer, using pi as needed.)
Answers: 2
![V=\pi\int_0^{26}[\frac{r}{h}u]^2du=\pi\frac{r^2}{h^2}[\frac{u^3}{3}]\\\\V=\pi\frac{(26)^2}{(26)^2}\frac{(26)^3}{3}=5858.66\pi](/tpl/images/0626/4082/e300d.png)
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An xyz-coordinate system has an x-axis, a y-axis, and a vertical positive z-axis. A right circular c...
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