Question

Solids A​ and B​ are similar.

Answer 1

Check the picture below.

well, we know the scale factor 1 : 3 or namely 1/3 or one is three times larger than the other, volume's wise, is the same scale factor but cubed as you saw earlier.

`\stackrel{ \textit{side's ratio} }{\cfrac{A}{B}=\cfrac{1}{3}}\hspace{5em}\stackrel{ \textit{volume's ratio} }{\cfrac{AV}{BV}=\cfrac{1^3}{3^3}}\hspace{5em}\cfrac{135\pi }{V}=\cfrac{1^3}{3^3} \\\\\\ \cfrac{135\pi }{V}=\cfrac{1}{27}\implies 3645\pi =V\implies \stackrel{ yd^3 }{11451.11}\approx V`