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.
(PS - the answer is not 1344 or 258pi, as I have already tried those answers)
+1639 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
+14903 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.
