Question

a cone has a volume of 98pi. every dimension is multiplied by a scale factor and the new cone has a volume of 6272pi. what was the scale factor

Answer 1

\(\large\tt \begin{align} \color{black}{initial~~volume=98\pi\\~\\
\text{every dimension is multiplied by a scale factor}\\~\\
\text{cone has 3 dimensions therefore}\\~\\
\text{let the scale factor be }x^3\\~\\
98x^3=6272\\~\\
x^3=\dfrac{6272}{98}\\~\\
x^3=64\\~\\
x=4
}\end{align}\)