a. Slant height = radius of the sector = 30cm
b. Base radius = \(\frac{120}{360}\) of radius of the sector = \(\frac{120}{360}\times30=10\) cm
c. To find volume, we need the height
height (h) = \(\sqrt{(30)^2-10^2}\)
= \(\sqrt{900-100}\)
= \(\sqrt{800}\)
= \(20\sqrt{2}\) cm
∴ Volume = \(\frac{1}{3}\pi r^2h\) = \(\frac{1}{3}\pi \times10^2\times20\sqrt{2}\)
\(\frac{2000\sqrt{2x}}{3}\) cm3
