Question

Two similar cones have volumes 27pi cubed and 64pi cubed. Find the ratio of the radio, the heights, and the lateral areasI know the answers from the answer checking document, but I don't know how to do it and my final is tomorrow!!

Answer 1

Let r and h be the radio and height of the first cone and R and H be the radio and height of the second cone. Their volumes are given by

`\begin{gathered} V_1=(1)/(3)\pi r^2h \\ \text{and} \\ V_2=(1)/(3)\pi R^2H \end{gathered}`

On the other hand, since our cones are similar, the following relationship m