The volumes of two spheres are #729# #i n^3# and #27# #i n^3#. What is the ratio of their radii, rounded to the nearest whole number?
3 Answers
The ratio of their radii is
Explanation:
Volume of bigger sphere is
Volume of smaller sphere is
The ratio of their radii is
The ratio of their radii=
Explanation:
Vol. of a sphere=
multiply both sides by
multiply both sides by
Ratios are always in simplest form, so
However we are given the ratios as
Big sphere : small sphere, so the ratio is
Explanation:
All spheres are similar figures.
Their volumes are in the same ratio as the cubes of their radii.
Note that we are not asked to find the actual lengths of their radii, only the ratio.
Find the cube root of both sides.
The ratio
Ratios are always given in the simplest form.