Question

6Question(15 Points)6. The volume of the cylinder below is 150 cubic centimeters. What is the area of its base?a. 20 cmb. 20 cmc. 10 cmd. 10 cm7.5 cm

Answer 1

The given cylinder has a height of 7.5 cm and volume of 150 cubic centimeters,

$\begin{gathered} h=7.5\text{ cm} \\ V=150\text{ cm}^3 \end{gathered}$

Consider that the volume and base area of a right circular cylinder are related as,

$V=A\times h$

Substitute the values and solve for A,

$\begin{gathered} 150=A\times7.5 \\ A=\frac{150}{7.5} \\ A=20 \end{gathered}$

Thus, the base area of the given cylinder is 20 sq. cm.

Therefore, option b is the correct choice.