Mathematics, 19.07.2019 23:30 scholar13
Arectangle with vertices a(6,0), k(0,0), l(0,9), and m(6,9) is rotated around the x-axis. to the nearest tenth of a cubic unit, what is the volume of the resulting three-dimensional figure? approximate pi as 3.14 a.339.12 units^3 b.508.7 units^3 c.1017.4 units^3 d.1526.0 units^3
Answers: 1
![\int f^2(x)dx=\int9^2dx=\int81dx=81x\\\\|V|=\pi\int\limits_0^69^2dx=\pi\left81x\right]^6_0=\pi(81\cdot6-81\cdot0)=\pi\cdot486=486\pi\\\\|V|=486\pi\approx486\cdot3.14=1526.0\ units^3](/tpl/images/0109/5941/c2f0b.png)
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Arectangle with vertices a(6,0), k(0,0), l(0,9), and m(6,9) is rotated around the x-axis. to the nea...
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