How does the volume of a cone compare to the volume of a cylinder with the same radius and height?
one-third of the volume
one-half of the volume
twice the volume
triple the volume

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Ответ:

infinitexero1022

25.09.2020

Mathematics

17, 23

Step-by-step explanation:

First, to find the radius, we need to find the distance between the center of the circle, (-7, -1), and the point that the circle passes through, (8, 7). Plugging these coordinates into the distance formula we do $\sqrt{(-7-8)^2+(-1-7)^2}$ which gives us 17. Therefore, the radius of the circle is 17 units.

Next to find the y-coordinate of the point (-15, ), we need to write out the equation of the circle and then plug in the point. The equation of the circle would be $(x+7)^{2} +(y-8)^{2}=289$ . Now we can plug in -15 for x and solve for y. So now we have $(-15+7)^{2} +(y-8)^{2}=289$ .

Simplifying the equation we have $(8)^{2} +(y-8)^{2}=289$ . Subract $8^{2}$ from 289 and now the equation is $(y-8)^{2}=225$ . Square root both sides to get y-8=15 . We solve for y to get 23. Therefore, the point is (-15, 23).

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How does the volume of a cone compare to the volume of a cylinder with the same radius and height? one-third of the volume one-half of the volume twice the volume triple the volume