what is the volume of frustum with diameters of 30cm and 15cm and a height of 25cm?
The volume of a frustum is gven by.....
V = (pi*h/3)(R2 + Rr + r2)
Where h is the height, R , r are the larger and smaller radii, respectively
So.... h = 25 R = 15 and r = 7.5......so we have
V = pi*(25/3)(152 + (15)(7.5) + 7.52) .......using the on-site calculator
$${\mathtt{\pi}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{25}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}\left({{\mathtt{15}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{15}}{\mathtt{\,\times\,}}{\mathtt{7.5}}\right){\mathtt{\,\small\textbf+\,}}{{\mathtt{7.5}}}^{{\mathtt{2}}}\right)\right) = {\mathtt{10\,308.350\: \!894\: \!591\: \!509\: \!063\: \!7}}$$
about 10,308.35 cm3