Question

Question 37

The curved surface area of a cylinder which exactly fits in a cube of side b is ___

Answer 1

$\pi b^2$
Since, the cylinder that exactly fits in a cube of side b has its height equal to the edge of the cube and radius equal to half the edge of the cube.
$\therefore$ Height = b and radius $=\frac{b}{2}$
Now, curved surface area of the cylinder $=2\pi rh=2\pi \times \frac{b}{2}\times b$
$=\pi b^2$