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nataly862011 [7]
3 years ago
10

The radius of the large sphere is double the radius of the small sphere. How many times is the volume of the large sphere than t

he small sphere? 2 4 6 8
Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0

The volume of a sphere is \cfrac{4}{3}\ \pi r^3

So, if the small sphere has radius r and the largest sphere has radius 2r, their volumes are

V_1 = \cfrac{4}{3}\ \pi r^3,\quad V_2 = \cfrac{4}{3}\ \pi (2r)^3 = \cfrac{4}{3}\ \pi 8r^3

So, their ratio is

\cfrac{V_2}{V_1} = \cfrac{\frac{4}{3}\ \pi 8r^3}{\frac{4}{3}\ \pi r^3} = 8

Anna71 [15]3 years ago
7 0

THe ratio of volumes = ratio of the cubes of the radius so it's

2^3 = 8 (answer)

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