Answer :
We can relate height and volume using the expression for the volume:
The volume of the cylinder is the product of the base area, a circumference of diameter 20 cm, and the height:
[tex]\begin{gathered} V=(\frac{\pi D^2}{4})\cdot h \\ V=400 \\ D=20 \end{gathered}[/tex][tex]\begin{gathered} 400=(\frac{\pi\cdot20^2}{4})\cdot h \\ 400=(\frac{\pi\cdot400}{4})\cdot h \\ 400=100\pi\cdot h \\ h=\frac{400}{100\pi} \\ h=\frac{4}{\pi} \\ h\approx\frac{4}{3.14}=1.27\text{ cm} \end{gathered}[/tex]The height for this cyinder is approximately 1.27 cm, so the closest value is 1 cm.
Answer: Option A (1 cm)