Question

if the ratio of two spheres is 4:7 find the ratio of their volumes​

Answer 1

Answer:

64:343

Step-by-step explanation:

Hey there!

Thanks for this question on volume of spheres. we equate the volume of both sphere and get ratio.

given ratio of radii of two sphere is 4:7

we know that,

volume of sphere with radii r is

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

ratio of volume of the given sphere =

$\frac{4}{3} \pi {(4)}^{3} \div \frac{4}{3}\pi {(7)}^{3}$

=

${(4)}^{3 } \: \div {(7)}^{3}$

= 64

343

Therefore, the ratio of their volume is 64:343.

hope it's help you

Thank you