To determine the volume of a cylinder:
[tex]V=\pi r^2h[/tex]A cube is said to have equal base where, the volume = 64cm^3
[tex]\begin{gathered} V=a^3 \\ 64=a^3 \\ 4^3=a^3 \\ a=4\operatorname{cm} \end{gathered}[/tex]The circular base of the cylinder is equivalent to the half the length of the cube
[tex]\text{circular bse = }\frac{a}{2}=\frac{4}{2}=2\operatorname{cm}[/tex][tex]\begin{gathered} \text{Volume of the cylinder = V = }\pi r^2h \\ V=\frac{22}{7}x2^2x\text{ 2} \\ V=\frac{176}{7}=25\frac{1}{7}cm^3 \end{gathered}[/tex]Hence the correct answer = 25 1/7 cm^3=
