Question

From a wooden cube of side a cm a right circular cylinder of maximum volume is cut . then the volume of the cylinder is​

Answer 1

Answer:

${a}^{3} \pi \: {cm}^{3}$

Answer 2

The volume of the cylinder is​ $\frac{\pi }{4}a^3$

Step-by-step explanation:

here , From a wooden cube of side a cm a right circular cylinder of maximum volume is cut

side of the cube = a

therefore diameter of cylinder = a

radius = a/2

height of the cylinder = side of the cube = a

thus

volume of cylinder = $\pi r^2h$

volume of cylinder  = $\pi (\frac{a}{2})^2\times a$

volume of cylinder = $\frac{\pi }{4}a^3$

hence , The volume of the cylinder is​ $\frac{\pi }{4}a^3$

#Learn more:

A right circular cylinder of maximum volume is cut out from a solid wooden cube. The material left is what percent of the volume (nearest to an integer) of the original cube?

https://brainly.in/question/13709461