Question

Is it possible to have a right circular cylinder to have a volume numerically equal to its curved surface area? If yes state when.

Answer 1

if we assume that curved surface area of the cylinder is numerically equal to its curved surface area, we get;

$volume = curved \: surface \: area \\ \: \: \: \: \pi \: {r}^{2} h = 2\pi \: rh \\ \: \: \: \frac{\pi \: {r}^{2}h }{\pi \: rh} = 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: r = 2 \: units$

Hence, this condition is only possible when the radius of the base of the right circular cylinder is of measure 2 units.

Answer 2

Step-by-step explanation:

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