Coal is pouring from a high conveyor belt onto a conical pile. The conical pile has a semi-vertical angle of 30°, and at time t the radius of the base is r. Find the height of the cone in terms of r, and hence show that the volume V of the cone is

V=(pi x r^3 x root 3)/ 3

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yes

yes yes yes

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

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