Question

The volumes of two similar cylinders are 2197pi in cubed and 8000pi in cubed find the following:

Answer 1

\[\frac{a^3}{b^3} = \frac{2197 {\pi}^3}{8000{\pi}^3}\]

Tell me this first:
\[\large \sqrt[3]{2197{\pi}^3} = ??\]

Since there is \({\pi}^3\) here so you can directly take it out of cube root brackets as \(\pi\).

Answer 2

\[\frac{ Volume I }{ Volume II }=\frac{a ^{3} }{ b ^{3} }\]
\[\frac{ r1 }{ r2 }=\frac{ h1 }{ h2 }=\frac{ a }{ b }\]
\[\frac{ Area I }{ Area II }=\frac{ a ^{2} }{ b ^{2} }\]