Question

Length of each edge of a wooden cube is 21 cm. Find the volume and curved surface area of the largest sphere obtained from the cube.​

Answer 1

the radius of sphere is

$\sqrt{2} \frac{21}{2}$

the volume of sphere is

$\frac{4\pi {r}^{3} }{3}$

so,

$\frac{4\pi { (\frac{21 \sqrt{2} }{2}) }^{3} }{3}$

put the value of radius we get

$13715.1796 {cm}^{2}$