Question

vol. of 2 speres are in ratio 27:64 .find their radii if sum of thier radiii is 28 cm

Answer 1

Answer:

Step-by-step explanation:

Let the radius of one sphere be r and other be R

given

$\frac{\frac{4}{3}\pi r^{3} }{\frac{4}{3}\pi R^{3} } = \frac{27}{64}$

$\frac{4}{3}$ and $\pi$ gets cancelled

∴ $\frac{r^{3} }{R^{3} } = \frac{27}{64}$

simplifying we get

$\frac{r}{R} = \frac{3}{4}$

so let the radii of the spheres be 3x and 4x

given 3x + 4x = 28

                 7x = 28

                    x = $\frac{28}{7}$

                        = 4

radius of first sphere = 3x =3×4 = 12

radius of other sphere = 4x = 4×4 = 16