The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?

Answer: Option A

Side of cube = 2.8 cm
Then radius of sphere $$=\frac{2.8}{2}=1.4\text{ cm}$$
Because, sphere be taken out of the cube.
⇒ Volume of sphere $$=\frac{4}{3}\pi r^3$$
$$\begin{array}{rl}& =\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4\\ & =\frac{88\times 0.392}{3}\\ & =\frac{34.496}{3}\\ & =11.498\\ & =11.50\text{ c}{\text{m}}^3\end{array}$$