Question

find the volume of the largest cylinder with circular base tht can be inscribed in a cube whose volume is 64cm^3.

Answer 1

To determine the volume of a cylinder:

`V=\pi r^2h`

A cube is said to have equal base where, the volume = 64cm^3

The circular base of the cylinder is equivalent to the half the length of the cube

`\begin{gathered} \text{Volume of the cylinder = V = }\pi r^2h \\ V=(22)/(7)x2^2x\text{ 2} \\ V=(176)/(7)=25(1)/(7)cm^3 \end{gathered}`

Hence the correct answer = 25 1/7 cm^3=