Question

14. A cube and a sphere have equal volumes. Find the ratio of the radius of the
sphere to an edge of the cube.​

Answer 1

Step-by-step explanation:

cube a3

sphre 4/3 .pi.r

both are equal

a3=4/3 .pi.r

3√(3/4).pi=r/s

Answer 2

Answer:

vol of cube =

${a}^{3}$

vol of sphere =

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

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

or,

$\frac{a}{r} = \sqrt[3]{ \frac{4}{3}\pi }$

or,

$\frac{a}{r} = \sqrt[3]{ \frac{88}{21} }$

or,

$\frac{r}{a} = \sqrt[3]{ \frac{21}{88} }$