Explanation: $V_cyl = \pi r^2 h$. $V_cone = \frac13\pi r^2 h$. Ratio = 1:3.
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Explanation: Diagonals bisect at $90^\circ$. Side $s = \sqrt(\fracd_12)^2 + (\fracd_22)^2 = \sqrt12^2 + 5^2 = \sqrt144+25 = 13$. Perimeter $= 4 \times 13 = 52$ cm. Explanation: $V_cyl = \pi r^2 h$