Question

Find the radius of the base of a cone with volume equal to 144pi in and height equal to 12

Answer 1

`The\ volume\ of\ the\ cone:V=(1)/(3)\pi r^2H\\\\V=144\pi;\ H=12;\ r=?\\\\subtitute\\\\(1)/(3)\pi r^2\cdot12=144\pi\\\\4\pi r^2=144\pi\ \ \ |divide\ both\ sides\ by\ 4\pi\\\\r^2=36\\\\r=√(36)\\\\\boxed{r=6}`