The given cylinder has a height of 7.5 cm and volume of 150 cubic centimeters,
[tex]\begin{gathered} h=7.5\text{ cm} \\ V=150\text{ cm}^3 \end{gathered}[/tex]Consider that the volume and base area of a right circular cylinder are related as,
[tex]V=A\times h[/tex]Substitute the values and solve for A,
[tex]\begin{gathered} 150=A\times7.5 \\ A=\frac{150}{7.5} \\ A=20 \end{gathered}[/tex]Thus, the base area of the given cylinder is 20 sq. cm.
Therefore, option b is the correct choice.
