Question
The polar coordinates of a point $P$ are $\left(2,240^{\circ}\right) .$ The Cartesian (rectangular) coordinates of $P$ are volume of the cone to the volume of the sphere is(A) $\frac{1}{12}$(B) $\frac{1}{4}$(C) $\frac{1}{3}$(C) $\frac{1}{3}$(D) $\frac{1}{1}$(E) $\frac{4}{3}$
Step 1
We need to convert these polar coordinates into Cartesian (rectangular) coordinates. The conversion from polar coordinates $(r,\theta)$ to Cartesian coordinates $(x,y)$ is given by the formulas: $x = r \cos \theta$ $y = r \sin \theta$ Show more…
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