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# help asap!!!!

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A circle has a radius of 25. A circular sector, with an angle of 345.6 degrees at the center, is cut from the circle, and then rolled to form a cone. Find the volume of the cone.

Oct 29, 2020

#1
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A circle has a radius of 25. A circular sector, with an angle of 345.6 degrees at the center, is cut from the circle, and then rolled to form a cone. Find the volume of the cone.

r = {[(50 * pi / 360) * 345.6] / pi} / 2

r = 24

h = sqrt(252 - 242

h = 7

V = pi*r2*h / 3 = pi*242*7 / 3 = 4222.3 u³   or   1344pi u³

Oct 29, 2020
edited by Guest  Oct 29, 2020
#2
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A circle has a radius of 25. A circular sector, with an angle of 345.6 degrees at the center, is cut from the circle, and then rolled to form a cone. Find the volume of the cone.

Hello Guest!

$$C_{cone}=2\cdot 25\cdot \pi \cdot \frac{345.6}{360}=\color{blue}150.796$$

$$r_{cone}=\frac{C_{cone}}{2\cdot \pi}=\color{blue}24$$

$$h_{cone}=\sqrt{r_{circle}^2-r_{cone}^2}=\sqrt{25^2-24^2}=\color{blue}7$$

$$V=\frac{1}{3}\cdot \pi \cdot r_{cone}^2\cdot h_{cone}=\frac{1}{3}\cdot \pi \cdot 24^2\cdot 7$$

$$V=4222.3$$ !

Sorry jugoslav, there was no answer when I started.

Oct 29, 2020
edited by asinus  Oct 29, 2020
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No problem; I appreciate your answers. jugoslav  Oct 29, 2020