Mathematics, 23.10.2019 17:00, faithyholcomb
What is the ratio for the volumes of two similar spheres, given that the ratio of their radii is 2: 7?
a. 49: 4
b.8: 343
c.343.8
d.4: 49
Answers: 2
![\dfrac{V}{V'}\\\\\\=\dfrac{\dfrac{4}{3}\pi r^3}{\dfrac{4}{3}\pi r'^3}\\\\\\=\dfrac{r^3}{r'^3}\\\\\\=\left(\dfrac{r}{r'}\right)^3\\\\\\=\left(\dfrac{2}{7}\right)^3~~~~~~~~~~~~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{8}{343}\\\\\\=8:343.](/tpl/images/0342/7458/1fb27.png)
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