Question

The volume of a cylinder which exactly fits in a cube of side a is ___

• A. $\frac{\pi }{4}{a}^3$
• B. $\frac{\pi }{4}{r}^3$
• C. $\frac{\pi }{2}{a}^3$
• D. $\frac{\pi }{3}{a}^3$

Answer 1

The correct option is A $\frac{\pi }{4}{a}^3$

The volume of a cylinder = $\frac{\pi }{4}{r}^3$ , where r is the radius

The volume of a cylinder which exactly fits in a cube of side a is when the radius of the cylinder , r = a .
Then , the volume of the cylinder that fits the in a cube = $\frac{\pi }{4}{a}^3$