Question

The volumes of two spheres are in the ratio 125:64. Find the ratio of their diameter's

Answer 1

Answer:

10 / 8.

Step-by-step explanation:

$\frac{v1}{v2} = \frac{\frac{4}{3} \ \times \pi \: r1 {}^{3} }{ \frac{4}{3} \times \pi \: r2 {}^{3} } = \frac{r1 {}^{3} }{r2 {}^{3} } = \frac{125}{64}$

$\frac{r1}{r2} = \frac{5}{4}$

So,

$\frac{d1}{d2} = \frac{5 \times 2}{4 \times 2} = \frac{10}{8}$

Answer 2

the ratio of volumes of two spheres is 125 ratio 64 find the ratio of their diameter