Question

The volume of a cylinder is 175(3.14) cubic units. What Is the volume of a cone that has the same base area and the same height?

Answer 1

let's recall that the volume of a cone is simply one-third that of a cylinder with the same "h" and "r"

`\begin{array}ll \cline{1-2} \stackrel{\textit{volume of a cylinder}}{\pi r^2 h}&\stackrel{\textit{volume of a cone}}{\cfrac{\pi r^2 h}{3}}\\[1em] \cline{1-2} 175\pi &\cfrac{175\pi }{3}\\[1em] \cline{1-2} \end{array}`