Question

Largest possible sphere is cut from a cubr of side 7 cm

Answer 1

Side = 7cm

$volume \: of \: a \: cube = {side}^{3}$
$volume = {(7)}^{3} = 343 {cm}^{3} \\ \\ sphere) \\ \\ v = \frac{4}{3}\pi {r}^{3} \\ 343 = \frac{4}{3}\pi {r}^{3} \\ {r} = \sqrt[3]{ \frac{343 \times 3 \times 7}{4 \times 22} } \\ r = \sqrt[3]{ \frac{7203}{88} } \\ r = \sqrt[3]{81.85} = 4.34cm$