Question

Fill in the blanks to make the statement true.
The volume of a cylinder which exactly first in a cube of side a is ________.

Answer 1

Since, the cylinder that exactly first in cube of side a has its height equal to the edge of the cube and radius equal to half the edge of the cube.
Therefore, height= a and radius = a/2
Now, vol.of the cylinder = $\pi r^{2}h=\pi {\left(\frac{a}{2}\right)}^{2}a=\frac{1}{4}\pi a^3$