Question

The surface area of the biggest sphere, which can fit in a cube of edge 8 cm is equal to

• A. $\frac{704}{7}c{m}^2$
  
• B. $\frac{1408}{7}c{m}^2$
  
• C. $\frac{2816}{7}c{m}^2$
  
• D. $\frac{1800}{7}c{m}^2$
  

Answer 1

The correct option is B $\frac{1408}{7}c{m}^2$


The biggest sphere, which can fit in a cube of edge 8 cm will have diameter of 8 cm.

Now, the diameter (d) of sphere is 8 cm.

Let r be the radius of the sphere.


$\therefore r=\frac{8}{2}=4cm$

∴ Surface area of sphere $=4\pi r^2$

$=4\pi (4{)}^2$

$=\frac{22}{7}\times 64$

$=\frac{1408}{7}c{m}^2$

Hence, the correct answer is option (b).