check the picture below.
so, notice the cone has a radius of 4, height of 8, whilst the cylinder has a radius of 4 and a height of 7.
[tex] \bf \stackrel{\textit{volume of the figure}}{\stackrel{cone}{\cfrac{\pi (4)^2(8)}{3}}~~+~~\stackrel{cylinder}{\pi (4)^2(7)}}\implies \cfrac{128\pi }{3}+112\pi \implies \cfrac{464\pi }{3} [/tex]
